72714447109920 has 768 divisors, whose sum is σ = 303698684620800. Its totient is φ = 14166675947520.

The previous prime is 72714447109897. The next prime is 72714447109943. The reversal of 72714447109920 is 2990174441727.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72714447109897) and next prime (72714447109943).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67583536 + ... + 68651024.

It is an arithmetic number, because the mean of its divisors is an integer number (395440995600).

Almost surely, 2^{72714447109920} is an apocalyptic number.

72714447109920 is a gapful number since it is divisible by the number (70) 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 72714447109920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151849342310400).

72714447109920 is an abundant number, since it is smaller than the sum of its proper divisors (230984237510880).

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

72714447109920 is a wasteful number, since it uses less digits than its factorization.

72714447109920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067641 (or 1067633 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 57.

The spelling of 72714447109920 in words is "seventy-two trillion, seven hundred fourteen billion, four hundred forty-seven million, one hundred nine thousand, nine hundred twenty".