72604562805 has 48 divisors (see below), whose sum is σ = 126800434800. Its totient is φ = 38429798400.

The previous prime is 72604562773. The next prime is 72604562843. The reversal of 72604562805 is 50826540627.

72604562805 is a `hidden beast` number, since 7 + 2 + 6 + 0 + 4 + 562 + 80 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10380756996 + 62223805809 = 101886^2 + 249447^2 .

It is not a de Polignac number, because 72604562805 - 2⁵ = 72604562773 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9255685 + ... + 9263525.

It is an arithmetic number, because the mean of its divisors is an integer number (2641675725).

Almost surely, 2^72604562805 is an apocalyptic number.

It is an amenable number.

72604562805 is a deficient number, since it is larger than the sum of its proper divisors (54195871995).

72604562805 is a wasteful number, since it uses less digits than its factorization.

72604562805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9382 (or 9379 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 72604562805 in words is "seventy-two billion, six hundred four million, five hundred sixty-two thousand, eight hundred five".