72794529024000 has 768 divisors, whose sum is σ = 276975998208000. Its totient is φ = 16628244480000.

The previous prime is 72794529023981. The next prime is 72794529024017. The reversal of 72794529024000 is 42092549727.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11284220775 + ... + 11284227225.

It is an arithmetic number, because the mean of its divisors is an integer number (360645831000).

Almost surely, 2^{72794529024000} is an apocalyptic number.

72794529024000 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 72794529024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138487999104000).

72794529024000 is an abundant number, since it is smaller than the sum of its proper divisors (204181469184000).

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

72794529024000 is a wasteful number, since it uses less digits than its factorization.

72794529024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8597 (or 8567 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 72794529024000 in words is "seventy-two trillion, seven hundred ninety-four billion, five hundred twenty-nine million, twenty-four thousand".