72654506496 has 400 divisors, whose sum is σ = 254787005088. Its totient is φ = 20321280000.

The previous prime is 72654506479. The next prime is 72654506497. The reversal of 72654506496 is 69460545627.

72654506496 is a `hidden beast` number, since 7 + 2 + 6 + 545 + 0 + 6 + 4 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (72654506497) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5924371 + ... + 5936621.

Almost surely, 2^72654506496 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 72654506496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127393502544).

72654506496 is an abundant number, since it is smaller than the sum of its proper divisors (182132498592).

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

72654506496 is a wasteful number, since it uses less digits than its factorization.

72654506496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12305 (or 12280 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 72654506496 in words is "seventy-two billion, six hundred fifty-four million, five hundred six thousand, four hundred ninety-six".