72635464800 has 1152 divisors, whose sum is σ = 303730560000. Its totient is φ = 16628613120.

The previous prime is 72635464793. The next prime is 72635464813. The reversal of 72635464800 is 846453627.

72635464800 is a `hidden beast` number, since 7 + 2 + 63 + 546 + 48 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 202327021 + ... + 202327379.

It is an arithmetic number, because the mean of its divisors is an integer number (263655000).

Almost surely, 2^72635464800 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 72635464800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151865280000).

72635464800 is an abundant number, since it is smaller than the sum of its proper divisors (231095095200).

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

72635464800 is a wasteful number, since it uses less digits than its factorization.

72635464800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 72635464800 in words is "seventy-two billion, six hundred thirty-five million, four hundred sixty-four thousand, eight hundred".