72901913 has 16 divisors (see below), whose sum is σ = 84529536. Its totient is φ = 61585920.

The previous prime is 72901903. The next prime is 72901919. The reversal of 72901913 is 31910927.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72901913 - 2⁶ = 72901849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72901913.

It is not an unprimeable number, because it can be changed into a prime (72901919) 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, 206345 + ... + 206697.

It is an arithmetic number, because the mean of its divisors is an integer number (5283096).

Almost surely, 2^72901913 is an apocalyptic number.

It is an amenable number.

72901913 is a deficient number, since it is larger than the sum of its proper divisors (11627623).

72901913 is a wasteful number, since it uses less digits than its factorization.

72901913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704.

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 72901913 is about 8538.2617083338. The cubic root of 72901913 is about 417.7466490506.

The spelling of 72901913 in words is "seventy-two million, nine hundred one thousand, nine hundred thirteen".