72373200 has 120 divisors (see below), whose sum is σ = 237651456. Its totient is φ = 18816000.

The previous prime is 72373193. The next prime is 72373201. The reversal of 72373200 is 237327.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72373201) 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, 48465 + ... + 49935.

Almost surely, 2^72373200 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 72373200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118825728).

72373200 is an abundant number, since it is smaller than the sum of its proper divisors (165278256).

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

72373200 is a wasteful number, since it uses less digits than its factorization.

72373200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 24.

The square root of 72373200 is about 8507.2439720511. The cubic root of 72373200 is about 416.7343107954.

The spelling of 72373200 in words is "seventy-two million, three hundred seventy-three thousand, two hundred".