72509400 has 72 divisors (see below), whose sum is σ = 243516780. Its totient is φ = 19335360.

The previous prime is 72509383. The next prime is 72509401. The reversal of 72509400 is 490527.

72509400 is a `hidden beast` number, since 7 + 250 + 9 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×72509400² = 10515226176720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72509401) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 18342 + ... + 21941.

Almost surely, 2^72509400 is an apocalyptic number.

It is an amenable number.

72509400 is an abundant number, since it is smaller than the sum of its proper divisors (171007380).

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

72509400 is a wasteful number, since it uses less digits than its factorization.

72509400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40305 (or 40293 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 72509400 is about 8515.2451520787. The cubic root of 72509400 is about 416.9955660899.

Adding to 72509400 its reverse (490527), we get a palindrome (72999927).

The spelling of 72509400 in words is "seventy-two million, five hundred nine thousand, four hundred".