72475021920 has 192 divisors, whose sum is σ = 266235379200. Its totient is φ = 16565681664.

The previous prime is 72475021919. The next prime is 72475021933. The reversal of 72475021920 is 2912057427.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 55462 + ... + 384741.

It is an arithmetic number, because the mean of its divisors is an integer number (1386642600).

Almost surely, 2^72475021920 is an apocalyptic number.

72475021920 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 72475021920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133117689600).

72475021920 is an abundant number, since it is smaller than the sum of its proper divisors (193760357280).

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

72475021920 is a wasteful number, since it uses less digits than its factorization.

72475021920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440242 (or 440220 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 72475021920 in words is "seventy-two billion, four hundred seventy-five million, twenty-one thousand, nine hundred twenty".