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72044154 = 237713181
BaseRepresentation
bin1000100101101…
…00111001111010
312000120020000000
410102310321322
5121420403104
611052053430
71533236160
oct422647172
9160506000
1072044154
1137737926
1220164276
1311c060a0
1497d5230
1564d1639
hex44b4e7a

72044154 has 128 divisors (see below), whose sum is σ = 200578560. Its totient is φ = 18895680.

The previous prime is 72044153. The next prime is 72044171. The reversal of 72044154 is 45144027.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72044153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 397944 + ... + 398124.

It is an arithmetic number, because the mean of its divisors is an integer number (1567020).

Almost surely, 272044154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72044154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100289280).

72044154 is an abundant number, since it is smaller than the sum of its proper divisors (128534406).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72044154 is a wasteful number, since it uses less digits than its factorization.

72044154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 72044154 is about 8487.8827748738. The cubic root of 72044154 is about 416.1017879929.

The spelling of 72044154 in words is "seventy-two million, forty-four thousand, one hundred fifty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 181 182 189 234 243 273 351 362 378 486 543 546 567 702 729 819 1053 1086 1134 1267 1458 1629 1638 1701 2106 2187 2353 2457 2534 3159 3258 3402 3801 4374 4706 4887 4914 5103 6318 7059 7371 7602 9477 9774 10206 11403 14118 14661 14742 15309 16471 18954 21177 22113 22806 28431 29322 30618 32942 34209 42354 43983 44226 49413 56862 63531 66339 68418 87966 98826 102627 127062 131949 132678 148239 190593 199017 205254 263898 296478 307881 381186 395847 398034 444717 571779 615762 791694 889434 923643 1143558 1334151 1715337 1847286 2668302 2770929 3430674 4002453 5146011 5541858 8004906 10292022 12007359 24014718 36022077 72044154