72790910640 has 480 divisors, whose sum is σ = 294848985600. Its totient is φ = 15721205760.

The previous prime is 72790910627. The next prime is 72790910653. The reversal of 72790910640 is 4601909727.

It is an interprime number because it is at equal distance from previous prime (72790910627) and next prime (72790910653).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 49890231 + ... + 49891689.

It is an arithmetic number, because the mean of its divisors is an integer number (614268720).

Almost surely, 2^72790910640 is an apocalyptic number.

72790910640 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 72790910640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147424492800).

72790910640 is an abundant number, since it is smaller than the sum of its proper divisors (222058074960).

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

72790910640 is a wasteful number, since it uses less digits than its factorization.

72790910640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 72790910640 in words is "seventy-two billion, seven hundred ninety million, nine hundred ten thousand, six hundred forty".