72952913 has 16 divisors (see below), whose sum is σ = 84542400. Its totient is φ = 62254080.

The previous prime is 72952903. The next prime is 72952927. The reversal of 72952913 is 31925927.

It is a cyclic number.

It is not a de Polignac number, because 72952913 - 2⁸ = 72952657 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72952903) 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, 22073 + ... + 25161.

It is an arithmetic number, because the mean of its divisors is an integer number (5283900).

Almost surely, 2^72952913 is an apocalyptic number.

It is an amenable number.

72952913 is a deficient number, since it is larger than the sum of its proper divisors (11589487).

72952913 is a wasteful number, since it uses less digits than its factorization.

72952913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232.

The product of its digits is 34020, while the sum is 38.

The square root of 72952913 is about 8541.2477425725. The cubic root of 72952913 is about 417.8440407011.

The spelling of 72952913 in words is "seventy-two million, nine hundred fifty-two thousand, nine hundred thirteen".