72575500 has 48 divisors (see below), whose sum is σ = 162830304. Its totient is φ = 28238400.

The previous prime is 72575471. The next prime is 72575509. The reversal of 72575500 is 557527.

It is not an unprimeable number, because it can be changed into a prime (72575509) 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 15 ways as a sum of consecutive naturals, for example, 16539 + ... + 20461.

It is an arithmetic number, because the mean of its divisors is an integer number (3392298).

Almost surely, 2^72575500 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 72575500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81415152).

72575500 is an abundant number, since it is smaller than the sum of its proper divisors (90254804).

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

72575500 is a wasteful number, since it uses less digits than its factorization.

72575500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 12250, while the sum is 31.

The square root of 72575500 is about 8519.1255419791. The cubic root of 72575500 is about 417.1222394844.

The spelling of 72575500 in words is "seventy-two million, five hundred seventy-five thousand, five hundred".