72453054960 has 960 divisors, whose sum is σ = 301645693440. Its totient is φ = 15930224640.

The previous prime is 72453054937. The next prime is 72453054991. The reversal of 72453054960 is 6945035427.

72453054960 is a `hidden beast` number, since 7 + 2 + 4 + 530 + 54 + 9 + 60 = 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, 186254446 + ... + 186254834.

It is an arithmetic number, because the mean of its divisors is an integer number (314214264).

Almost surely, 2^72453054960 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 72453054960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150822846720).

72453054960 is an abundant number, since it is smaller than the sum of its proper divisors (229192638480).

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

72453054960 is a wasteful number, since it uses less digits than its factorization.

72453054960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 72453054960 in words is "seventy-two billion, four hundred fifty-three million, fifty-four thousand, nine hundred sixty".