75706164 has 72 divisors (see below), whose sum is σ = 201434688. Its totient is φ = 24857280.

The previous prime is 75706157. The next prime is 75706193. The reversal of 75706164 is 46160757.

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

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, 68464 + ... + 69560.

It is an arithmetic number, because the mean of its divisors is an integer number (2797704).

Almost surely, 2^75706164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75706164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100717344).

75706164 is an abundant number, since it is smaller than the sum of its proper divisors (125728524).

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

75706164 is a wasteful number, since it uses less digits than its factorization.

75706164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 75706164 is about 8700.9289159262. The cubic root of 75706164 is about 423.0357597654.

The spelling of 75706164 in words is "seventy-five million, seven hundred six thousand, one hundred sixty-four".