75031164 has 48 divisors (see below), whose sum is σ = 209492640. Its totient is φ = 23086080.

The previous prime is 75031157. The next prime is 75031169. The reversal of 75031164 is 46113057.

It is a super-3 number, since 3×75031164³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75031169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25317 + ... + 28124.

It is an arithmetic number, because the mean of its divisors is an integer number (4364430).

Almost surely, 2^75031164 is an apocalyptic number.

It is an amenable number.

75031164 is an abundant number, since it is smaller than the sum of its proper divisors (134461476).

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

75031164 is a wasteful number, since it uses less digits than its factorization.

75031164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53467 (or 53459 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 75031164 is about 8662.0531053556. The cubic root of 75031164 is about 421.7747350860.

The spelling of 75031164 in words is "seventy-five million, thirty-one thousand, one hundred sixty-four".