72366400 has 84 divisors (see below), whose sum is σ = 183936640. Its totient is φ = 27993600.

The previous prime is 72366389. The next prime is 72366401. The reversal of 72366400 is 466327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72366401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48871 + ... + 50329.

Almost surely, 2^72366400 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 72366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91968320).

72366400 is an abundant number, since it is smaller than the sum of its proper divisors (111570240).

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

72366400 is a wasteful number, since it uses less digits than its factorization.

72366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 72366400 is about 8506.8443032655. The cubic root of 72366400 is about 416.7212586248.

The spelling of 72366400 in words is "seventy-two million, three hundred sixty-six thousand, four hundred".