72960975 has 36 divisors (see below), whose sum is σ = 132067936. Its totient is φ = 38499840.

The previous prime is 72960971. The next prime is 72960997. The reversal of 72960975 is 57906927.

It is not a de Polignac number, because 72960975 - 2² = 72960971 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72960975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72960971) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20154 + ... + 23496.

Almost surely, 2^72960975 is an apocalyptic number.

72960975 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72960975 is a deficient number, since it is larger than the sum of its proper divisors (59106961).

72960975 is a wasteful number, since it uses less digits than its factorization.

72960975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 72960975 is about 8541.7196746323. The cubic root of 72960975 is about 417.8594320654.

The spelling of 72960975 in words is "seventy-two million, nine hundred sixty thousand, nine hundred seventy-five".