72053113248 has 240 divisors, whose sum is σ = 219664063080. Its totient is φ = 23141873664.

The previous prime is 72053113193. The next prime is 72053113339. The reversal of 72053113248 is 84231135027.

72053113248 is a `hidden beast` number, since 72 + 0 + 531 + 13 + 2 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70643260944 + 1409852304 = 265788^2 + 37548^2 .

It is a super-2 number, since 2×72053113248² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65921790 + ... + 65922882.

Almost surely, 2^72053113248 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 72053113248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109832031540).

72053113248 is an abundant number, since it is smaller than the sum of its proper divisors (147610949832).

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

72053113248 is a wasteful number, since it uses less digits than its factorization.

72053113248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 72053113248 in words is "seventy-two billion, fifty-three million, one hundred thirteen thousand, two hundred forty-eight".