72450739872 has 144 divisors (see below), whose sum is σ = 245815153920. Its totient is φ = 20700199296.

The previous prime is 72450739831. The next prime is 72450739891. The reversal of 72450739872 is 27893705427.

72450739872 is a `hidden beast` number, since 7 + 24 + 507 + 39 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 813328 + ... + 897999.

It is an arithmetic number, because the mean of its divisors is an integer number (1707049680).

Almost surely, 2^72450739872 is an apocalyptic number.

72450739872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72450739872 is an abundant number, since it is smaller than the sum of its proper divisors (173364414048).

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

72450739872 is a wasteful number, since it uses less digits than its factorization.

72450739872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711360 (or 1711339 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 72450739872 in words is "seventy-two billion, four hundred fifty million, seven hundred thirty-nine thousand, eight hundred seventy-two".