75505164 has 48 divisors (see below), whose sum is σ = 211948800. Its totient is φ = 20437056.

The previous prime is 75505153. The next prime is 75505201. The reversal of 75505164 is 46150557.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22059 + ... + 25250.

It is an arithmetic number, because the mean of its divisors is an integer number (4415600).

Almost surely, 2^75505164 is an apocalyptic number.

It is an amenable number.

75505164 is an abundant number, since it is smaller than the sum of its proper divisors (136443636).

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

75505164 is a wasteful number, since it uses less digits than its factorization.

75505164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47342 (or 47340 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 75505164 is about 8689.3707482188. The cubic root of 75505164 is about 422.6610410452.

The spelling of 75505164 in words is "seventy-five million, five hundred five thousand, one hundred sixty-four".