74712960 has 384 divisors, whose sum is σ = 315057600. Its totient is φ = 15925248.

The previous prime is 74712923. The next prime is 74713013. The reversal of 74712960 is 6921747.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 685386 + ... + 685494.

Almost surely, 2^74712960 is an apocalyptic number.

74712960 is a gapful number since it is divisible by the number (70) 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 74712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157528800).

74712960 is an abundant number, since it is smaller than the sum of its proper divisors (240344640).

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

74712960 is a wasteful number, since it uses less digits than its factorization.

74712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 74712960 is about 8643.6658889617. The cubic root of 74712960 is about 421.1776472636.

The spelling of 74712960 in words is "seventy-four million, seven hundred twelve thousand, nine hundred sixty".