75401664 has 112 divisors (see below), whose sum is σ = 227612448. Its totient is φ = 21823488.

The previous prime is 75401657. The next prime is 75401693. The reversal of 75401664 is 46610457.

It is a congruent number.

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, 41544 + ... + 43320.

It is an arithmetic number, because the mean of its divisors is an integer number (2032254).

Almost surely, 2^75401664 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 75401664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113806224).

75401664 is an abundant number, since it is smaller than the sum of its proper divisors (152210784).

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

75401664 is a wasteful number, since it uses less digits than its factorization.

75401664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 75401664 is about 8683.4131538238. The cubic root of 75401664 is about 422.4678294425.

The spelling of 75401664 in words is "seventy-five million, four hundred one thousand, six hundred sixty-four".