752136480 has 72 divisors (see below), whose sum is σ = 2566670652. Its totient is φ = 200569344.

The previous prime is 752136479. The next prime is 752136499. The reversal of 752136480 is 84631257.

752136480 is a `hidden beast` number, since 7 + 5 + 2 + 1 + 3 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 709050384 + 43086096 = 26628^2 + 6564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259719 + ... + 262598.

Almost surely, 2^752136480 is an apocalyptic number.

It is an amenable number.

752136480 is an abundant number, since it is smaller than the sum of its proper divisors (1814534172).

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

752136480 is a wasteful number, since it uses less digits than its factorization.

752136480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522338 (or 522327 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 752136480 is about 27425.1067454623. The cubic root of 752136480 is about 909.4221989177.

The spelling of 752136480 in words is "seven hundred fifty-two million, one hundred thirty-six thousand, four hundred eighty".