72612661 has 32 divisors (see below), whose sum is σ = 89579520. Its totient is φ = 58003200.

The previous prime is 72612653. The next prime is 72612671. The reversal of 72612661 is 16621627.

It is a happy number.

It is not a de Polignac number, because 72612661 - 2³ = 72612653 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72612601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380076 + ... + 380266.

It is an arithmetic number, because the mean of its divisors is an integer number (2799360).

Almost surely, 2^72612661 is an apocalyptic number.

It is an amenable number.

72612661 is a deficient number, since it is larger than the sum of its proper divisors (16966859).

72612661 is a wasteful number, since it uses less digits than its factorization.

72612661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345.

The product of its digits is 6048, while the sum is 31.

The square root of 72612661 is about 8521.3062965721. The cubic root of 72612661 is about 417.1934206896.

The spelling of 72612661 in words is "seventy-two million, six hundred twelve thousand, six hundred sixty-one".