72344400 has 180 divisors, whose sum is σ = 246046752. Its totient is φ = 18167040.

The previous prime is 72344399. The next prime is 72344411. The reversal of 72344400 is 444327.

It is a super-2 number, since 2×72344400² = 10467424422720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 433117 + ... + 433283.

Almost surely, 2^72344400 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 72344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123023376).

72344400 is an abundant number, since it is smaller than the sum of its proper divisors (173702352).

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

72344400 is a wasteful number, since it uses less digits than its factorization.

72344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 72344400 is about 8505.5511285278. The cubic root of 72344400 is about 416.6790254112.

Adding to 72344400 its reverse (444327), we get a palindrome (72788727).

The spelling of 72344400 in words is "seventy-two million, three hundred forty-four thousand, four hundred".