72476564337 has 24 divisors (see below), whose sum is σ = 105366066624. Its totient is φ = 48005128224.

The previous prime is 72476564299. The next prime is 72476564357. The reversal of 72476564337 is 73346567427.

72476564337 is a `hidden beast` number, since 7 + 2 + 4 + 76 + 564 + 3 + 3 + 7 = 666.

It is not a de Polignac number, because 72476564337 - 2²³ = 72468175729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72476564357) 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, 5681188 + ... + 5693930.

It is an arithmetic number, because the mean of its divisors is an integer number (4390252776).

Almost surely, 2^72476564337 is an apocalyptic number.

It is an amenable number.

72476564337 is a deficient number, since it is larger than the sum of its proper divisors (32889502287).

72476564337 is a wasteful number, since it uses less digits than its factorization.

72476564337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16789 (or 16786 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 54.

The spelling of 72476564337 in words is "seventy-two billion, four hundred seventy-six million, five hundred sixty-four thousand, three hundred thirty-seven".