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72440304 = 2433189547
BaseRepresentation
bin1000101000101…
…01100111110000
312001022100102020
410110111213300
5122021042204
611104351440
71536506136
oct424254760
9161270366
1072440304
1137988522
1220315580
13120144b1
149899756
15655dbd9
hex45159f0

72440304 has 80 divisors (see below), whose sum is σ = 195701760. Its totient is φ = 23063040.

The previous prime is 72440299. The next prime is 72440311. The reversal of 72440304 is 40304427.

It is a super-2 number, since 2×724403042 = 10495195287224832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132159 + ... + 132705.

It is an arithmetic number, because the mean of its divisors is an integer number (2446272).

Almost surely, 272440304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72440304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97850880).

72440304 is an abundant number, since it is smaller than the sum of its proper divisors (123261456).

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

72440304 is a wasteful number, since it uses less digits than its factorization.

72440304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 72440304 is about 8511.1869912486. The cubic root of 72440304 is about 416.8630688661.

The spelling of 72440304 in words is "seventy-two million, four hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 89 93 124 178 186 248 267 356 372 496 534 547 712 744 1068 1094 1424 1488 1641 2136 2188 2759 3282 4272 4376 5518 6564 8277 8752 11036 13128 16554 16957 22072 26256 33108 33914 44144 48683 50871 66216 67828 97366 101742 132432 135656 146049 194732 203484 271312 292098 389464 406968 584196 778928 813936 1168392 1509173 2336784 3018346 4527519 6036692 9055038 12073384 18110076 24146768 36220152 72440304