72933632205 has 16 divisors (see below), whose sum is σ = 133364356224. Its totient is φ = 33341088960.

The previous prime is 72933632179. The next prime is 72933632221. The reversal of 72933632205 is 50223633927.

It is a happy number.

It is not a de Polignac number, because 72933632205 - 2⁷ = 72933632077 is a prime.

It is a super-2 number, since 2×72933632205² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347302906 + ... + 347303115.

It is an arithmetic number, because the mean of its divisors is an integer number (8335272264).

Almost surely, 2^72933632205 is an apocalyptic number.

It is an amenable number.

72933632205 is a deficient number, since it is larger than the sum of its proper divisors (60430724019).

72933632205 is a wasteful number, since it uses less digits than its factorization.

72933632205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694606036.

The product of its (nonzero) digits is 408240, while the sum is 42.

The spelling of 72933632205 in words is "seventy-two billion, nine hundred thirty-three million, six hundred thirty-two thousand, two hundred five".