72208846725120 has 1344 divisors, whose sum is σ = 302987891920896. Its totient is φ = 16152979046400.

The previous prime is 72208846725107. The next prime is 72208846725133. The reversal of 72208846725120 is 2152764880227.

It is a happy number.

72208846725120 is a `hidden beast` number, since 7 + 2 + 2 + 0 + 88 + 46 + 7 + 2 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72208846725107) and next prime (72208846725133).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3274618095 + ... + 3274640145.

It is an arithmetic number, because the mean of its divisors is an integer number (225437419584).

Almost surely, 2^{72208846725120} is an apocalyptic number.

72208846725120 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 72208846725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151493945960448).

72208846725120 is an abundant number, since it is smaller than the sum of its proper divisors (230779045195776).

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

72208846725120 is an equidigital number, since it uses as much as digits as its factorization.

72208846725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22151 (or 22115 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 72208846725120 in words is "seventy-two trillion, two hundred eight billion, eight hundred forty-six million, seven hundred twenty-five thousand, one hundred twenty".