72508122 has 80 divisors (see below), whose sum is σ = 169361280. Its totient is φ = 23170752.

The previous prime is 72508103. The next prime is 72508133. The reversal of 72508122 is 22180527.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 677593 + ... + 677699.

It is an arithmetic number, because the mean of its divisors is an integer number (2117016).

Almost surely, 2^72508122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72508122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84680640).

72508122 is an abundant number, since it is smaller than the sum of its proper divisors (96853158).

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

72508122 is a wasteful number, since it uses less digits than its factorization.

72508122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 72508122 is about 8515.1701098686. The cubic root of 72508122 is about 416.9931161847.

Adding to 72508122 its reverse (22180527), we get a palindrome (94688649).

The spelling of 72508122 in words is "seventy-two million, five hundred eight thousand, one hundred twenty-two".