72390400 has 54 divisors (see below), whose sum is σ = 179193392. Its totient is φ = 28953600.

The previous prime is 72390397. The next prime is 72390427. The reversal of 72390400 is 409327.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 745 + ... + 12055.

Almost surely, 2^72390400 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 72390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89596696).

72390400 is an abundant number, since it is smaller than the sum of its proper divisors (106802992).

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

72390400 is a wasteful number, since it uses less digits than its factorization.

72390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11337 (or 11318 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 72390400 is about 8508.2548151780. The cubic root of 72390400 is about 416.7673214605.

Adding to 72390400 its reverse (409327), we get a palindrome (72799727).

The spelling of 72390400 in words is "seventy-two million, three hundred ninety thousand, four hundred".