72707976600 has 768 divisors, whose sum is σ = 285101752320. Its totient is φ = 14946508800.

The previous prime is 72707976599. The next prime is 72707976709. The reversal of 72707976600 is 667970727.

It is a super-2 number, since 2×72707976600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 236833647 + ... + 236833953.

It is an arithmetic number, because the mean of its divisors is an integer number (371226240).

Almost surely, 2^72707976600 is an apocalyptic number.

72707976600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72707976600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142550876160).

72707976600 is an abundant number, since it is smaller than the sum of its proper divisors (212393775720).

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

72707976600 is a wasteful number, since it uses less digits than its factorization.

72707976600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 1555848, while the sum is 51.

The spelling of 72707976600 in words is "seventy-two billion, seven hundred seven million, nine hundred seventy-six thousand, six hundred".