72704231424 has 672 divisors, whose sum is σ = 251362893600. Its totient is φ = 20782448640.

The previous prime is 72704231419. The next prime is 72704231441. The reversal of 72704231424 is 42413240727.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 312035212 + ... + 312035444.

It is an arithmetic number, because the mean of its divisors is an integer number (374051925).

Almost surely, 2^72704231424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72704231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125681446800).

72704231424 is an abundant number, since it is smaller than the sum of its proper divisors (178658662176).

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

72704231424 is a wasteful number, since it uses less digits than its factorization.

72704231424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 72704231424 in words is "seventy-two billion, seven hundred four million, two hundred thirty-one thousand, four hundred twenty-four".