72051680 has 48 divisors (see below), whose sum is σ = 170798544. Its totient is φ = 28723200.

The previous prime is 72051671. The next prime is 72051737. The reversal of 72051680 is 8615027.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63599 + ... + 64721.

It is an arithmetic number, because the mean of its divisors is an integer number (3558303).

Almost surely, 2^72051680 is an apocalyptic number.

It is an amenable number.

72051680 is an abundant number, since it is smaller than the sum of its proper divisors (98746864).

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

72051680 is a wasteful number, since it uses less digits than its factorization.

72051680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 72051680 is about 8488.3261011816. The cubic root of 72051680 is about 416.1162766679.

The spelling of 72051680 in words is "seventy-two million, fifty-one thousand, six hundred eighty".