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72744714 = 23272671231
BaseRepresentation
bin1000101010111…
…11111100001010
312001212210222200
410111133330022
5122110312324
611115101030
71542214500
oct425377412
9161783880
1072744714
11380761a9
1220441776
13120bcc13
149938670
1565bdec9
hex455ff0a

72744714 has 72 divisors (see below), whose sum is σ = 186234048. Its totient is φ = 20457360.

The previous prime is 72744713. The next prime is 72744739. The reversal of 72744714 is 41744727.

It is not an unprimeable number, because it can be changed into a prime (72744713) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58479 + ... + 59709.

It is an arithmetic number, because the mean of its divisors is an integer number (2586584).

Almost surely, 272744714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72744714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93117024).

72744714 is an abundant number, since it is smaller than the sum of its proper divisors (113489334).

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

72744714 is a wasteful number, since it uses less digits than its factorization.

72744714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1310 counting only the distinct ones).

The product of its digits is 43904, while the sum is 36.

The square root of 72744714 is about 8529.0511781792. The cubic root of 72744714 is about 417.4461694494.

The spelling of 72744714 in words is "seventy-two million, seven hundred forty-four thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 67 98 126 134 147 201 294 402 441 469 603 882 938 1206 1231 1407 2462 2814 3283 3693 4221 6566 7386 8442 8617 9849 11079 17234 19698 22158 25851 29547 51702 59094 60319 77553 82477 120638 155106 164954 180957 247431 361914 494862 542871 577339 742293 1085742 1154678 1484586 1732017 3464034 4041373 5196051 8082746 10392102 12124119 24248238 36372357 72744714