72852661 has 24 divisors (see below), whose sum is σ = 89303040. Its totient is φ = 59143392.

The previous prime is 72852653. The next prime is 72852671. The reversal of 72852661 is 16625827.

It is a happy number.

It is not a de Polignac number, because 72852661 - 2³ = 72852653 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72852661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72852601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142875 + ... + 143383.

It is an arithmetic number, because the mean of its divisors is an integer number (3720960).

Almost surely, 2^72852661 is an apocalyptic number.

It is an amenable number.

72852661 is a deficient number, since it is larger than the sum of its proper divisors (16450379).

72852661 is a wasteful number, since it uses less digits than its factorization.

72852661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 666 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 72852661 is about 8535.3770274078. The cubic root of 72852661 is about 417.6525523286.

The spelling of 72852661 in words is "seventy-two million, eight hundred fifty-two thousand, six hundred sixty-one".