72024880401 has 32 divisors (see below), whose sum is σ = 112338576000. Its totient is φ = 45481673664.

The previous prime is 72024880399. The next prime is 72024880427. The reversal of 72024880401 is 10408842027.

72024880401 is a `hidden beast` number, since 7 + 2 + 0 + 248 + 8 + 0 + 401 = 666.

It is not a de Polignac number, because 72024880401 - 2¹ = 72024880399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72024880601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5437855 + ... + 5451083.

It is an arithmetic number, because the mean of its divisors is an integer number (3510580500).

Almost surely, 2^72024880401 is an apocalyptic number.

It is an amenable number.

72024880401 is a deficient number, since it is larger than the sum of its proper divisors (40313695599).

72024880401 is a wasteful number, since it uses less digits than its factorization.

72024880401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23870 (or 23864 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 72024880401 in words is "seventy-two billion, twenty-four million, eight hundred eighty thousand, four hundred one".