72640952 has 64 divisors (see below), whose sum is σ = 149299200. Its totient is φ = 33022080.

The previous prime is 72640951. The next prime is 72640957. The reversal of 72640952 is 25904627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72640951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571913 + ... + 572039.

It is an arithmetic number, because the mean of its divisors is an integer number (2332800).

Almost surely, 2^72640952 is an apocalyptic number.

It is an amenable number.

72640952 is an abundant number, since it is smaller than the sum of its proper divisors (76658248).

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

72640952 is a wasteful number, since it uses less digits than its factorization.

72640952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 72640952 is about 8522.9661503493. The cubic root of 72640952 is about 417.2475952940.

The spelling of 72640952 in words is "seventy-two million, six hundred forty thousand, nine hundred fifty-two".