72436580 has 24 divisors (see below), whose sum is σ = 152404728. Its totient is φ = 28919808.

The previous prime is 72436571. The next prime is 72436583. The reversal of 72436580 is 8563427.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 50608996 + 21827584 = 7114^2 + 4672^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72436580.

It is not an unprimeable number, because it can be changed into a prime (72436583) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8402 + ... + 14678.

It is an arithmetic number, because the mean of its divisors is an integer number (6350197).

Almost surely, 2^72436580 is an apocalyptic number.

It is an amenable number.

72436580 is an abundant number, since it is smaller than the sum of its proper divisors (79968148).

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

72436580 is a wasteful number, since it uses less digits than its factorization.

72436580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6863 (or 6861 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 72436580 is about 8510.9682175414. The cubic root of 72436580 is about 416.8559253995.

The spelling of 72436580 in words is "seventy-two million, four hundred thirty-six thousand, five hundred eighty".