72915205 has 24 divisors (see below), whose sum is σ = 96832512. Its totient is φ = 52668000.

The previous prime is 72915187. The next prime is 72915211. The reversal of 72915205 is 50251927.

It is not a de Polignac number, because 72915205 - 2¹⁵ = 72882437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115240 + ... + 115870.

It is an arithmetic number, because the mean of its divisors is an integer number (4034688).

Almost surely, 2^72915205 is an apocalyptic number.

It is an amenable number.

72915205 is a deficient number, since it is larger than the sum of its proper divisors (23917307).

72915205 is a wasteful number, since it uses less digits than its factorization.

72915205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 72915205 is about 8539.0400514344. The cubic root of 72915205 is about 417.7720363635.

Subtracting from 72915205 its reverse (50251927), we obtain a triangular number (22663278 = T₆₇₃₂).

The spelling of 72915205 in words is "seventy-two million, nine hundred fifteen thousand, two hundred five".