72140580 has 72 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 19121472.

The previous prime is 72140557. The next prime is 72140591. The reversal of 72140580 is 8504127.

72140580 is a `hidden beast` number, since 72 + 14 + 0 + 580 = 666.

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 23 ways as a sum of consecutive naturals, for example, 31101 + ... + 33339.

It is an arithmetic number, because the mean of its divisors is an integer number (3057600).

Almost surely, 2^72140580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72140580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

72140580 is an abundant number, since it is smaller than the sum of its proper divisors (148006620).

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

72140580 is a wasteful number, since it uses less digits than its factorization.

72140580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 72140580 is about 8493.5610906145. The cubic root of 72140580 is about 416.2873461609.

The spelling of 72140580 in words is "seventy-two million, one hundred forty thousand, five hundred eighty".