752112117504 has 540 divisors, whose sum is σ = 2572449570768. Its totient is φ = 217986785280.

The previous prime is 752112117469. The next prime is 752112117509. The reversal of 752112117504 is 405711211257.

It is a happy number.

752112117504 is a `hidden beast` number, since 7 + 5 + 21 + 12 + 117 + 504 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752112117509) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 57701772 + ... + 57714804.

Almost surely, 2^752112117504 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 752112117504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286224785384).

752112117504 is an abundant number, since it is smaller than the sum of its proper divisors (1820337453264).

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

752112117504 is a wasteful number, since it uses less digits than its factorization.

752112117504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13106 (or 13072 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 752112117504 in words is "seven hundred fifty-two billion, one hundred twelve million, one hundred seventeen thousand, five hundred four".