72088413 has 16 divisors (see below), whose sum is σ = 101368320. Its totient is φ = 45443376.

The previous prime is 72088391. The next prime is 72088421. The reversal of 72088413 is 31488027.

It is not a de Polignac number, because 72088413 - 2⁹ = 72087901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72088433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44056 + ... + 45662.

It is an arithmetic number, because the mean of its divisors is an integer number (6335520).

Almost surely, 2^72088413 is an apocalyptic number.

It is an amenable number.

72088413 is a deficient number, since it is larger than the sum of its proper divisors (29279907).

72088413 is a wasteful number, since it uses less digits than its factorization.

72088413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416.

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 72088413 is about 8490.4895618568. The cubic root of 72088413 is about 416.1869787084.

The spelling of 72088413 in words is "seventy-two million, eighty-eight thousand, four hundred thirteen".