72602763601 has 9 divisors (see below), whose sum is σ = 72985495849. Its totient is φ = 72222032164.

The previous prime is 72602763593. The next prime is 72602763637. The reversal of 72602763601 is 10636720627.

The square root of 72602763601 is 269449.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 72602763601 - 2³ = 72602763593 is a prime.

It is a super-2 number, since 2×72602763601² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72602763641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 61164330 + ... + 61165516.

Almost surely, 2^72602763601 is an apocalyptic number.

72602763601 is the 269449-th square number.

72602763601 is the 134725-th centered octagonal number.

It is an amenable number.

72602763601 is a deficient number, since it is larger than the sum of its proper divisors (382732248).

72602763601 is an frugal number, since it uses more digits than its factorization.

72602763601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 72602763601 in words is "seventy-two billion, six hundred two million, seven hundred sixty-three thousand, six hundred one".