75312972 has 36 divisors (see below), whose sum is σ = 217571536. Its totient is φ = 21517920.

The previous prime is 75312967. The next prime is 75312977. The reversal of 75312972 is 27921357.

It is an interprime number because it is at equal distance from previous prime (75312967) and next prime (75312977).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (75312977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149179 + ... + 149682.

Almost surely, 2^75312972 is an apocalyptic number.

It is an amenable number.

75312972 is an abundant number, since it is smaller than the sum of its proper divisors (142258564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75312972 is a wasteful number, since it uses less digits than its factorization.

75312972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298878 (or 298873 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 75312972 is about 8678.3046731490. The cubic root of 75312972 is about 422.3021203778.

The spelling of 75312972 in words is "seventy-five million, three hundred twelve thousand, nine hundred seventy-two".