72163264646640 has 160 divisors (see below), whose sum is σ = 226749822796800. Its totient is φ = 18982169256960.

The previous prime is 72163264646633. The next prime is 72163264646659. The reversal of 72163264646640 is 4664646236127.

It is a super-2 number, since 2×72163264646640² (a number of 29 digits) contains 22 as substring.

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, 18488035 + ... + 22048445.

It is an arithmetic number, because the mean of its divisors is an integer number (1417186392480).

Almost surely, 2^{72163264646640} 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 72163264646640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113374911398400).

72163264646640 is an abundant number, since it is smaller than the sum of its proper divisors (154586558150160).

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

72163264646640 is a wasteful number, since it uses less digits than its factorization.

72163264646640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561575 (or 3561569 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 57.

The spelling of 72163264646640 in words is "seventy-two trillion, one hundred sixty-three billion, two hundred sixty-four million, six hundred forty-six thousand, six hundred forty".