75431664 has 120 divisors (see below), whose sum is σ = 263233152. Its totient is φ = 19589760.

The previous prime is 75431623. The next prime is 75431689. The reversal of 75431664 is 46613457.

It is a happy number.

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, 7687 + ... + 14489.

Almost surely, 2^75431664 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 75431664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131616576).

75431664 is an abundant number, since it is smaller than the sum of its proper divisors (187801488).

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

75431664 is a wasteful number, since it uses less digits than its factorization.

75431664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6835 (or 6826 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 75431664 is about 8685.1404133727. The cubic root of 75431664 is about 422.5238509930.

The spelling of 75431664 in words is "seventy-five million, four hundred thirty-one thousand, six hundred sixty-four".