72525000 has 96 divisors (see below), whose sum is σ = 226860480. Its totient is φ = 19320000.

The previous prime is 72524999. The next prime is 72525007. The reversal of 72525000 is 52527.

It is not an unprimeable number, because it can be changed into a prime (72525007) 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, 74517 + ... + 75483.

It is an arithmetic number, because the mean of its divisors is an integer number (2363130).

Almost surely, 2^72525000 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 72525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113430240).

72525000 is an abundant number, since it is smaller than the sum of its proper divisors (154335480).

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

72525000 is an equidigital number, since it uses as much as digits as its factorization.

72525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 72525000 is about 8516.1611069777. The cubic root of 72525000 is about 417.0254687157.

Adding to 72525000 its reverse (52527), we get a palindrome (72577527).

The spelling of 72525000 in words is "seventy-two million, five hundred twenty-five thousand".