72819580 has 24 divisors (see below), whose sum is σ = 158195520. Its totient is φ = 28123200.

The previous prime is 72819577. The next prime is 72819581. The reversal of 72819580 is 8591827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72819581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62196 + ... + 63355.

It is an arithmetic number, because the mean of its divisors is an integer number (6591480).

Almost surely, 2^72819580 is an apocalyptic number.

It is an amenable number.

72819580 is an abundant number, since it is smaller than the sum of its proper divisors (85375940).

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

72819580 is a wasteful number, since it uses less digits than its factorization.

72819580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125589 (or 125587 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The square root of 72819580 is about 8533.4389316383. The cubic root of 72819580 is about 417.5893267458.

It can be divided in two parts, 7281 and 9580, that added together give a palindrome (16861).

The spelling of 72819580 in words is "seventy-two million, eight hundred nineteen thousand, five hundred eighty".