72622851840 has 1728 divisors, whose sum is σ = 342842572800. Its totient is φ = 13735526400.

The previous prime is 72622851839. The next prime is 72622851857. The reversal of 72622851840 is 4815822627.

72622851840 is a `hidden beast` number, since 7 + 2 + 622 + 8 + 5 + 18 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 522466491 + ... + 522466629.

Almost surely, 2^72622851840 is an apocalyptic number.

72622851840 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 72622851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171421286400).

72622851840 is an abundant number, since it is smaller than the sum of its proper divisors (270219720960).

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

72622851840 is a wasteful number, since it uses less digits than its factorization.

72622851840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 72622851840 in words is "seventy-two billion, six hundred twenty-two million, eight hundred fifty-one thousand, eight hundred forty".