74656512 has 144 divisors (see below), whose sum is σ = 252474880. Its totient is φ = 21316608.

The previous prime is 74656481. The next prime is 74656523. The reversal of 74656512 is 21565647.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×74656512² = 11147189568012288, which contains 22 as substring.

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

Its product of digits (50400) is a multiple of the sum of its prime factors (1575).

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, 47613 + ... + 49155.

Almost surely, 2^74656512 is an apocalyptic number.

74656512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74656512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126237440).

74656512 is an abundant number, since it is smaller than the sum of its proper divisors (177818368).

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

74656512 is a wasteful number, since it uses less digits than its factorization.

74656512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1555 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 74656512 is about 8640.3999907412. The cubic root of 74656512 is about 421.0715495360.

The spelling of 74656512 in words is "seventy-four million, six hundred fifty-six thousand, five hundred twelve".