73562400397200 has 960 divisors, whose sum is σ = 279322502215680. Its totient is φ = 16314335232000.

The previous prime is 73562400397193. The next prime is 73562400397309. The reversal of 73562400397200 is 279300426537.

It is a super-2 number, since 2×73562400397200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 73562400397200.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22097445136 + ... + 22097448464.

It is an arithmetic number, because the mean of its divisors is an integer number (290960939808).

Almost surely, 2^{73562400397200} 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 73562400397200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139661251107840).

73562400397200 is an abundant number, since it is smaller than the sum of its proper divisors (205760101818480).

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

73562400397200 is a wasteful number, since it uses less digits than its factorization.

73562400397200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4488 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 48.

The spelling of 73562400397200 in words is "seventy-three trillion, five hundred sixty-two billion, four hundred million, three hundred ninety-seven thousand, two hundred".