73472051772928 has 160 divisors (see below), whose sum is σ = 155078927483040. Its totient is φ = 34678329016320.

The previous prime is 73472051772893. The next prime is 73472051772971. The reversal of 73472051772928 is 82927715027437.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 73472051772928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12621892258 + ... + 12621898078.

It is an arithmetic number, because the mean of its divisors is an integer number (969243296769).

Almost surely, 2^{73472051772928} 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 73472051772928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77539463741520).

73472051772928 is an abundant number, since it is smaller than the sum of its proper divisors (81606875710112).

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

73472051772928 is a wasteful number, since it uses less digits than its factorization.

73472051772928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10268 (or 10252 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 64.

The spelling of 73472051772928 in words is "seventy-three trillion, four hundred seventy-two billion, fifty-one million, seven hundred seventy-two thousand, nine hundred twenty-eight".