72981315 has 48 divisors (see below), whose sum is σ = 140321376. Its totient is φ = 34790400.

The previous prime is 72981283. The next prime is 72981317. The reversal of 72981315 is 51318927.

It is not a de Polignac number, because 72981315 - 2⁵ = 72981283 is a prime.

It is a super-3 number, since 3×72981315³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72981315.

It is not an unprimeable number, because it can be changed into a prime (72981317) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 28987 + ... + 31403.

It is an arithmetic number, because the mean of its divisors is an integer number (2923362).

Almost surely, 2^72981315 is an apocalyptic number.

72981315 is a deficient number, since it is larger than the sum of its proper divisors (67340061).

72981315 is a wasteful number, since it uses less digits than its factorization.

72981315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2497 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 72981315 is about 8542.9102184209. The cubic root of 72981315 is about 417.8982586260.

The spelling of 72981315 in words is "seventy-two million, nine hundred eighty-one thousand, three hundred fifteen".