72677203200 has 1296 divisors, whose sum is σ = 328807454976. Its totient is φ = 14922547200.

The previous prime is 72677203139. The next prime is 72677203219. The reversal of 72677203200 is 230277627.

72677203200 is a `hidden beast` number, since 7 + 267 + 72 + 0 + 320 + 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 157650970 + ... + 157651430.

It is an arithmetic number, because the mean of its divisors is an integer number (253709456).

Almost surely, 2^72677203200 is an apocalyptic number.

72677203200 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 72677203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164403727488).

72677203200 is an abundant number, since it is smaller than the sum of its proper divisors (256130251776).

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

72677203200 is a wasteful number, since it uses less digits than its factorization.

72677203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 72677203200 in words is "seventy-two billion, six hundred seventy-seven million, two hundred three thousand, two hundred".