72872462601 has 9 divisors (see below), whose sum is σ = 105261393549. Its totient is φ = 48581101836.

The previous prime is 72872462587. The next prime is 72872462647. The reversal of 72872462601 is 10626427827.

It is a happy number.

The square root of 72872462601 is 269949.

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

72872462601 is a `hidden beast` number, since 72 + 87 + 246 + 260 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 72872462601 - 2²⁹ = 72335591689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72872462651) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 764856 + ... + 854838.

Almost surely, 2^72872462601 is an apocalyptic number.

72872462601 is the 269949-th square number.

72872462601 is the 134975-th centered octagonal number.

It is an amenable number.

72872462601 is a deficient number, since it is larger than the sum of its proper divisors (32388930948).

72872462601 is an frugal number, since it uses more digits than its factorization.

72872462601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179972 (or 89986 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 72872462601 in words is "seventy-two billion, eight hundred seventy-two million, four hundred sixty-two thousand, six hundred one".