72605604033 has 12 divisors (see below), whose sum is σ = 105144367380. Its totient is φ = 48279302496.

The previous prime is 72605604023. The next prime is 72605604037. The reversal of 72605604033 is 33040650627.

72605604033 is a `hidden beast` number, since 7 + 2 + 60 + 560 + 4 + 0 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43183749249 + 29421854784 = 207807^2 + 171528^2 .

It is not a de Polignac number, because 72605604033 - 2¹⁰ = 72605603009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72605604037) 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, 10365766 + ... + 10372767.

It is an arithmetic number, because the mean of its divisors is an integer number (8762030615).

Almost surely, 2^72605604033 is an apocalyptic number.

It is an amenable number.

72605604033 is a deficient number, since it is larger than the sum of its proper divisors (32538763347).

72605604033 is a wasteful number, since it uses less digits than its factorization.

72605604033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20738928 (or 20738925 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 72605604033 in words is "seventy-two billion, six hundred five million, six hundred four thousand, thirty-three".