73752042960 has 480 divisors, whose sum is σ = 261394698240. Its totient is φ = 18612633600.

The previous prime is 73752042953. The next prime is 73752042989. The reversal of 73752042960 is 6924025737.

73752042960 is a `hidden beast` number, since 7 + 37 + 520 + 4 + 2 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 272147625 + ... + 272147895.

It is an arithmetic number, because the mean of its divisors is an integer number (544572288).

Almost surely, 2^73752042960 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 73752042960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130697349120).

73752042960 is an abundant number, since it is smaller than the sum of its proper divisors (187642655280).

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

73752042960 is a wasteful number, since it uses less digits than its factorization.

73752042960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 73752042960 in words is "seventy-three billion, seven hundred fifty-two million, forty-two thousand, nine hundred sixty".