72508150 has 48 divisors (see below), whose sum is σ = 158458608. Its totient is φ = 24336000.

The previous prime is 72508147. The next prime is 72508151. The reversal of 72508150 is 5180527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72508151) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2080 + ... + 12220.

It is an arithmetic number, because the mean of its divisors is an integer number (3301221).

Almost surely, 2^72508150 is an apocalyptic number.

72508150 is an abundant number, since it is smaller than the sum of its proper divisors (85950458).

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

72508150 is a wasteful number, since it uses less digits than its factorization.

72508150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10177 (or 10172 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The square root of 72508150 is about 8515.1717539930. The cubic root of 72508150 is about 416.9931698605.

Adding to 72508150 its reverse (5180527), we get a palindrome (77688677).

It can be divided in two parts, 7250 and 8150, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 72508150 in words is "seventy-two million, five hundred eight thousand, one hundred fifty".