72446400 has 420 divisors, whose sum is σ = 293448232. Its totient is φ = 17418240.

The previous prime is 72446393. The next prime is 72446417. The reversal of 72446400 is 464427.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1684779 + ... + 1684821.

Almost surely, 2^72446400 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 72446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146724116).

72446400 is an abundant number, since it is smaller than the sum of its proper divisors (221001832).

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

72446400 is a wasteful number, since it uses less digits than its factorization.

72446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 72446400 is about 8511.5451006266. The cubic root of 72446400 is about 416.8747618318.

The spelling of 72446400 in words is "seventy-two million, four hundred forty-six thousand, four hundred".