753818040072 has 96 divisors (see below), whose sum is σ = 2150521308000. Its totient is φ = 237884014080.

The previous prime is 753818040043. The next prime is 753818040083. The reversal of 753818040072 is 270040818357.

753818040072 is a `hidden beast` number, since 7 + 538 + 1 + 8 + 0 + 40 + 0 + 72 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1807072 + ... + 2184752.

It is an arithmetic number, because the mean of its divisors is an integer number (22401263625).

Almost surely, 2^753818040072 is an apocalyptic number.

753818040072 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 753818040072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075260654000).

753818040072 is an abundant number, since it is smaller than the sum of its proper divisors (1396703267928).

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

753818040072 is a wasteful number, since it uses less digits than its factorization.

753818040072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379171 (or 379164 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 753818040072 in words is "seven hundred fifty-three billion, eight hundred eighteen million, forty thousand, seventy-two".