72703212928 has 64 divisors (see below), whose sum is σ = 153468302400. Its totient is φ = 34188746752.

The previous prime is 72703212919. The next prime is 72703212943. The reversal of 72703212928 is 82921230727.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3224478 + ... + 3246946.

It is an arithmetic number, because the mean of its divisors is an integer number (2397942225).

Almost surely, 2^72703212928 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 72703212928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76734151200).

72703212928 is an abundant number, since it is smaller than the sum of its proper divisors (80765089472).

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

72703212928 is a wasteful number, since it uses less digits than its factorization.

72703212928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23987 (or 23975 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 72703212928 in words is "seventy-two billion, seven hundred three million, two hundred twelve thousand, nine hundred twenty-eight".