72642108 has 108 divisors (see below), whose sum is σ = 216937896. Its totient is φ = 18849600.

The previous prime is 72642079. The next prime is 72642113. The reversal of 72642108 is 80124627.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 70638 + ... + 71658.

Almost surely, 2^72642108 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 72642108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108468948).

72642108 is an abundant number, since it is smaller than the sum of its proper divisors (144295788).

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

72642108 is a wasteful number, since it uses less digits than its factorization.

72642108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 72642108 is about 8523.0339668454. The cubic root of 72642108 is about 417.2498086261.

The spelling of 72642108 in words is "seventy-two million, six hundred forty-two thousand, one hundred eight".