72628752122496 has 384 divisors, whose sum is σ = 224246027491200. Its totient is φ = 22492762546176.

The previous prime is 72628752122447. The next prime is 72628752122519. The reversal of 72628752122496 is 69422125782627.

72628752122496 is a `hidden beast` number, since 7 + 2 + 6 + 2 + 87 + 52 + 12 + 2 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2903627686 + ... + 2903652698.

It is an arithmetic number, because the mean of its divisors is an integer number (583974029925).

Almost surely, 2^{72628752122496} is an apocalyptic number.

72628752122496 is a gapful number since it is divisible by the number (76) 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 72628752122496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112123013745600).

72628752122496 is an abundant number, since it is smaller than the sum of its proper divisors (151617275368704).

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

72628752122496 is a wasteful number, since it uses less digits than its factorization.

72628752122496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27608 (or 27593 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 72628752122496 in words is "seventy-two trillion, six hundred twenty-eight billion, seven hundred fifty-two million, one hundred twenty-two thousand, four hundred ninety-six".