72475200 has 252 divisors, whose sum is σ = 294802560. Its totient is φ = 16542720.

The previous prime is 72475189. The next prime is 72475201. The reversal of 72475200 is 257427.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (72475201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100441 + ... + 101159.

Almost surely, 2^72475200 is an apocalyptic number.

72475200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147401280).

72475200 is an abundant number, since it is smaller than the sum of its proper divisors (222327360).

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

72475200 is a wasteful number, since it uses less digits than its factorization.

72475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 72475200 is about 8513.2367522582. The cubic root of 72475200 is about 416.9299953220.

The spelling of 72475200 in words is "seventy-two million, four hundred seventy-five thousand, two hundred".