72891684 has 48 divisors (see below), whose sum is σ = 189461440. Its totient is φ = 24235200.

The previous prime is 72891673. The next prime is 72891691. The reversal of 72891684 is 48619827.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64347 + ... + 65469.

Almost surely, 2^72891684 is an apocalyptic number.

It is an amenable number.

72891684 is an abundant number, since it is smaller than the sum of its proper divisors (116569756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72891684 is a wasteful number, since it uses less digits than its factorization.

72891684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1729 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 72891684 is about 8537.6626778059. The cubic root of 72891684 is about 417.7271098727.

It can be divided in two parts, 728916 and 84, that added together give a cube (729000 = 90³).

The spelling of 72891684 in words is "seventy-two million, eight hundred ninety-one thousand, six hundred eighty-four".