72038515 has 16 divisors (see below), whose sum is σ = 87538176. Its totient is φ = 56908800.

The previous prime is 72038497. The next prime is 72038531. The reversal of 72038515 is 51583027.

It is not a de Polignac number, because 72038515 - 2⁷ = 72038387 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229999 + ... + 230311.

It is an arithmetic number, because the mean of its divisors is an integer number (5471136).

Almost surely, 2^72038515 is an apocalyptic number.

72038515 is a deficient number, since it is larger than the sum of its proper divisors (15499661).

72038515 is a wasteful number, since it uses less digits than its factorization.

72038515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750.

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 72038515 is about 8487.5505889509. The cubic root of 72038515 is about 416.0909314136.

It can be divided in two parts, 7203851 and 5, that added together give a square (7203856 = 2684²).

The spelling of 72038515 in words is "seventy-two million, thirty-eight thousand, five hundred fifteen".