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72889656 = 2337261981
BaseRepresentation
bin1000101100000…
…11010100111000
312002011011210220
410112003110320
5122124432111
611122140040
71543360200
oct426032470
9162134726
1072889656
1138165094
12204b1620
1312140b98
149975400
1565ebe06
hex4583538

72889656 has 48 divisors (see below), whose sum is σ = 211978440. Its totient is φ = 20825280.

The previous prime is 72889651. The next prime is 72889657. The reversal of 72889656 is 65698827.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 72889599 and 72889608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72889651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29815 + ... + 32166.

Almost surely, 272889656 is an apocalyptic number.

It is an amenable number.

72889656 is an abundant number, since it is smaller than the sum of its proper divisors (139088784).

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

72889656 is a wasteful number, since it uses less digits than its factorization.

72889656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62004 (or 61993 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 72889656 is about 8537.5439091111. The cubic root of 72889656 is about 417.7232358211.

The spelling of 72889656 in words is "seventy-two million, eight hundred eighty-nine thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 61981 123962 185943 247924 371886 433867 495848 743772 867734 1301601 1487544 1735468 2603202 3037069 3470936 5206404 6074138 9111207 10412808 12148276 18222414 24296552 36444828 72889656