72907200 has 252 divisors, whose sum is σ = 266550648. Its totient is φ = 18892800.

The previous prime is 72907193. The next prime is 72907201. The reversal of 72907200 is 270927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72907201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 878359 + ... + 878441.

Almost surely, 2^72907200 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 72907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133275324).

72907200 is an abundant number, since it is smaller than the sum of its proper divisors (193643448).

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

72907200 is a wasteful number, since it uses less digits than its factorization.

72907200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 72907200 is about 8538.5713090657. The cubic root of 72907200 is about 417.7567474282.

The spelling of 72907200 in words is "seventy-two million, nine hundred seven thousand, two hundred".