72063102169152 has 336 divisors, whose sum is σ = 223347819414720. Its totient is φ = 22201676052480.

The previous prime is 72063102169139. The next prime is 72063102169187. The reversal of 72063102169152 is 25196120136027.

72063102169152 is a `hidden beast` number, since 7 + 2 + 0 + 631 + 0 + 2 + 1 + 6 + 9 + 1 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 72063102169098 and 72063102169107.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161759703 + ... + 162204585.

It is an arithmetic number, because the mean of its divisors is an integer number (664725653020).

Almost surely, 2^{72063102169152} is an apocalyptic number.

72063102169152 is a gapful number since it is divisible by the number (72) 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 72063102169152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111673909707360).

72063102169152 is an abundant number, since it is smaller than the sum of its proper divisors (151284717245568).

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

72063102169152 is a wasteful number, since it uses less digits than its factorization.

72063102169152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444999 (or 444948 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 72063102169152 in words is "seventy-two trillion, sixty-three billion, one hundred two million, one hundred sixty-nine thousand, one hundred fifty-two".