72580400 has 60 divisors (see below), whose sum is σ = 175194144. Its totient is φ = 28896000.

The previous prime is 72580367. The next prime is 72580411. The reversal of 72580400 is 408527.

It is a self number, because there is not a number n which added to its sum of digits gives 72580400.

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 11 ways as a sum of consecutive naturals, for example, 168185 + ... + 168615.

Almost surely, 2^72580400 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 72580400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87597072).

72580400 is an abundant number, since it is smaller than the sum of its proper divisors (102613744).

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

72580400 is a wasteful number, since it uses less digits than its factorization.

72580400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 72580400 is about 8519.4131253274. The cubic root of 72580400 is about 417.1316267339.

Adding to 72580400 its reverse (408527), we get a palindrome (72988927).

The spelling of 72580400 in words is "seventy-two million, five hundred eighty thousand, four hundred".