72770416459200 has 1344 divisors, whose sum is σ = 280817852221440. Its totient is φ = 18522581299200.

The previous prime is 72770416459193. The next prime is 72770416459231. The reversal of 72770416459200 is 295461407727.

72770416459200 is a `hidden beast` number, since 7 + 2 + 7 + 7 + 0 + 41 + 6 + 4 + 592 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70582362685 + ... + 70582363715.

Almost surely, 2^{72770416459200} 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 72770416459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140408926110720).

72770416459200 is an abundant number, since it is smaller than the sum of its proper divisors (208047435762240).

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

72770416459200 is a wasteful number, since it uses less digits than its factorization.

72770416459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 72770416459200 in words is "seventy-two trillion, seven hundred seventy billion, four hundred sixteen million, four hundred fifty-nine thousand, two hundred".