72721382400 has 198 divisors, whose sum is σ = 260377777712. Its totient is φ = 19392307200.

The previous prime is 72721382399. The next prime is 72721382429. The reversal of 72721382400 is 428312727.

72721382400 is a `hidden beast` number, since 7 + 272 + 1 + 382 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 72585 + ... + 388215.

Almost surely, 2^72721382400 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 72721382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130188888856).

72721382400 is an abundant number, since it is smaller than the sum of its proper divisors (187656395312).

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

72721382400 is a wasteful number, since it uses less digits than its factorization.

72721382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315667 (or 315641 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 72721382400 in words is "seventy-two billion, seven hundred twenty-one million, three hundred eighty-two thousand, four hundred".