72790740191232 has 960 divisors, whose sum is σ = 254689440445440. Its totient is φ = 20279346167808.

The previous prime is 72790740191177. The next prime is 72790740191251. The reversal of 72790740191232 is 23219104709727.

72790740191232 is a `hidden beast` number, since 7 + 27 + 90 + 7 + 401 + 9 + 123 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49083438363 + ... + 49083439845.

It is an arithmetic number, because the mean of its divisors is an integer number (265301500464).

Almost surely, 2^{72790740191232} is an apocalyptic number.

72790740191232 is a gapful number since it is divisible by the number (72) 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 72790740191232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127344720222720).

72790740191232 is an abundant number, since it is smaller than the sum of its proper divisors (181898700254208).

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

72790740191232 is a wasteful number, since it uses less digits than its factorization.

72790740191232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 72790740191232 in words is "seventy-two trillion, seven hundred ninety billion, seven hundred forty million, one hundred ninety-one thousand, two hundred thirty-two".