72074086560 has 144 divisors (see below), whose sum is σ = 281088976896. Its totient is φ = 16474074624.

The previous prime is 72074086547. The next prime is 72074086561. The reversal of 72074086560 is 6568047027.

72074086560 is a `hidden beast` number, since 7 + 2 + 0 + 7 + 4 + 0 + 86 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (72074086561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3565024 + ... + 3585183.

It is an arithmetic number, because the mean of its divisors is an integer number (1952006784).

Almost surely, 2^72074086560 is an apocalyptic number.

72074086560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72074086560 is an abundant number, since it is smaller than the sum of its proper divisors (209014890336).

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

72074086560 is a wasteful number, since it uses less digits than its factorization.

72074086560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7150235 (or 7150224 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 72074086560 in words is "seventy-two billion, seventy-four million, eighty-six thousand, five hundred sixty".