72446200 has 48 divisors (see below), whose sum is σ = 169074000. Its totient is φ = 28869120.

The previous prime is 72446191. The next prime is 72446201. The reversal of 72446200 is 264427.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72446201) 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, 71296 + ... + 72304.

It is an arithmetic number, because the mean of its divisors is an integer number (3522375).

Almost surely, 2^72446200 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 72446200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84537000).

72446200 is an abundant number, since it is smaller than the sum of its proper divisors (96627800).

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

72446200 is a wasteful number, since it uses less digits than its factorization.

72446200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 72446200 is about 8511.5333518703. The cubic root of 72446200 is about 416.8743782148.

The spelling of 72446200 in words is "seventy-two million, four hundred forty-six thousand, two hundred".