72235605672 has 48 divisors (see below), whose sum is σ = 195789190740. Its totient is φ = 24059939328.

The previous prime is 72235605671. The next prime is 72235605683. The reversal of 72235605672 is 27650653227.

72235605672 is a `hidden beast` number, since 7 + 2 + 2 + 35 + 605 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58615315236 + 13620290436 = 242106^2 + 116706^2 .

It is not an unprimeable number, because it can be changed into a prime (72235605671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 293383 + ... + 480150.

Almost surely, 2^72235605672 is an apocalyptic number.

72235605672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72235605672 is an abundant number, since it is smaller than the sum of its proper divisors (123553585068).

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

72235605672 is a wasteful number, since it uses less digits than its factorization.

72235605672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774842 (or 774835 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 72235605672 in words is "seventy-two billion, two hundred thirty-five million, six hundred five thousand, six hundred seventy-two".