72764762400 has 1440 divisors, whose sum is σ = 310345136640. Its totient is φ = 16422912000.

The previous prime is 72764762393. The next prime is 72764762401. The reversal of 72764762400 is 426746727.

72764762400 is a `hidden beast` number, since 72 + 76 + 476 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (72764762401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 817581556 + ... + 817581644.

It is an arithmetic number, because the mean of its divisors is an integer number (215517456).

Almost surely, 2^72764762400 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 72764762400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155172568320).

72764762400 is an abundant number, since it is smaller than the sum of its proper divisors (237580374240).

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

72764762400 is a wasteful number, since it uses less digits than its factorization.

72764762400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 72764762400 in words is "seventy-two billion, seven hundred sixty-four million, seven hundred sixty-two thousand, four hundred".