72673200 has 150 divisors (see below), whose sum is σ = 260934564. Its totient is φ = 19370880.

The previous prime is 72673199. The next prime is 72673213. The reversal of 72673200 is 237627.

It is a tau number, because it is divible by the number of its divisors (150).

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

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 29 ways as a sum of consecutive naturals, for example, 31279 + ... + 33521.

Almost surely, 2^72673200 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 72673200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130467282).

72673200 is an abundant number, since it is smaller than the sum of its proper divisors (188261364).

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

72673200 is a wasteful number, since it uses less digits than its factorization.

72673200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 72673200 is about 8524.8577700745. The cubic root of 72673200 is about 417.3093300293.

The spelling of 72673200 in words is "seventy-two million, six hundred seventy-three thousand, two hundred".