72791524800 has 588 divisors, whose sum is σ = 284420407536. Its totient is φ = 18264268800.

The previous prime is 72791524787. The next prime is 72791524829. The reversal of 72791524800 is 842519727.

It is a happy number.

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 83 ways as a sum of consecutive naturals, for example, 19826965 + ... + 19830635.

Almost surely, 2^72791524800 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 72791524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142210203768).

72791524800 is an abundant number, since it is smaller than the sum of its proper divisors (211628882736).

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

72791524800 is a wasteful number, since it uses less digits than its factorization.

72791524800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 72791524800 in words is "seventy-two billion, seven hundred ninety-one million, five hundred twenty-four thousand, eight hundred".