72957099600 has 1440 divisors, whose sum is σ = 335708513280. Its totient is φ = 14878080000.

The previous prime is 72957099599. The next prime is 72957099613. The reversal of 72957099600 is 699075927.

72957099600 is a `hidden beast` number, since 7 + 2 + 9 + 570 + 9 + 9 + 60 + 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 (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 483159525 + ... + 483159675.

It is an arithmetic number, because the mean of its divisors is an integer number (233130912).

Almost surely, 2^72957099600 is an apocalyptic number.

72957099600 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 72957099600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167854256640).

72957099600 is an abundant number, since it is smaller than the sum of its proper divisors (262751413680).

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

72957099600 is a wasteful number, since it uses less digits than its factorization.

72957099600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 72957099600 in words is "seventy-two billion, nine hundred fifty-seven million, ninety-nine thousand, six hundred".