72400896 has 90 divisors (see below), whose sum is σ = 209577732. Its totient is φ = 24084480.

The previous prime is 72400891. The next prime is 72400919. The reversal of 72400896 is 69800427.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72400896.

It is not an unprimeable number, because it can be changed into a prime (72400891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147211 + ... + 147701.

Almost surely, 2^72400896 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 72400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104788866).

72400896 is an abundant number, since it is smaller than the sum of its proper divisors (137176836).

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

72400896 is an equidigital number, since it uses as much as digits as its factorization.

72400896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 72400896 is about 8508.8716055656. The cubic root of 72400896 is about 416.7874630741.

The spelling of 72400896 in words is "seventy-two million, four hundred thousand, eight hundred ninety-six".