75120164 has 36 divisors (see below), whose sum is σ = 152319552. Its totient is φ = 31754400.

The previous prime is 75120131. The next prime is 75120169. The reversal of 75120164 is 46102157.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (75120169) 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 11 ways as a sum of consecutive naturals, for example, 285497 + ... + 285759.

Almost surely, 2^75120164 is an apocalyptic number.

It is an amenable number.

75120164 is an abundant number, since it is smaller than the sum of its proper divisors (77199388).

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

75120164 is a wasteful number, since it uses less digits than its factorization.

75120164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 75120164 is about 8667.1889329817. The cubic root of 75120164 is about 421.9414352366.

The spelling of 75120164 in words is "seventy-five million, one hundred twenty thousand, one hundred sixty-four".