72413200 has 120 divisors (see below), whose sum is σ = 192630528. Its totient is φ = 26019840.

The previous prime is 72413189. The next prime is 72413207. The reversal of 72413200 is 231427.

It is not an unprimeable number, because it can be changed into a prime (72413207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156169 + ... + 156631.

Almost surely, 2^72413200 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 72413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96315264).

72413200 is an abundant number, since it is smaller than the sum of its proper divisors (120217328).

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

72413200 is a wasteful number, since it uses less digits than its factorization.

72413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 72413200 is about 8509.5945849376. The cubic root of 72413200 is about 416.8110717252.

Adding to 72413200 its reverse (231427), we get a palindrome (72644627).

It can be divided in two parts, 724 and 13200, that added together give a square (13924 = 118²).

The spelling of 72413200 in words is "seventy-two million, four hundred thirteen thousand, two hundred".