72762872416 has 192 divisors, whose sum is σ = 165990988800. Its totient is φ = 31115943936.

The previous prime is 72762872363. The next prime is 72762872447. The reversal of 72762872416 is 61427826727.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157155001 + ... + 157155463.

It is an arithmetic number, because the mean of its divisors is an integer number (864536400).

Almost surely, 2^72762872416 is an apocalyptic number.

72762872416 is a gapful number since it is divisible by the number (76) 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 72762872416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82995494400).

72762872416 is an abundant number, since it is smaller than the sum of its proper divisors (93228116384).

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

72762872416 is a wasteful number, since it uses less digits than its factorization.

72762872416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 893 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 52.

The spelling of 72762872416 in words is "seventy-two billion, seven hundred sixty-two million, eight hundred seventy-two thousand, four hundred sixteen".