72640929 has 16 divisors (see below), whose sum is σ = 97910784. Its totient is φ = 47902800.

The previous prime is 72640903. The next prime is 72640951. The reversal of 72640929 is 92904627.

It is not a de Polignac number, because 72640929 - 2⁷ = 72640801 is a prime.

It is a super-4 number, since 4×72640929⁴ (a number of 33 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (72640429) 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 15 ways as a sum of consecutive naturals, for example, 189472 + ... + 189854.

It is an arithmetic number, because the mean of its divisors is an integer number (6119424).

Almost surely, 2^72640929 is an apocalyptic number.

It is an amenable number.

72640929 is a deficient number, since it is larger than the sum of its proper divisors (25269855).

72640929 is a wasteful number, since it uses less digits than its factorization.

72640929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 72640929 is about 8522.9648010537. The cubic root of 72640929 is about 417.2475512569.

The spelling of 72640929 in words is "seventy-two million, six hundred forty thousand, nine hundred twenty-nine".