72122484 has 48 divisors (see below), whose sum is σ = 194253696. Its totient is φ = 20400000.

The previous prime is 72122471. The next prime is 72122521. The reversal of 72122484 is 48422127.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4234 + ... + 12734.

It is an arithmetic number, because the mean of its divisors is an integer number (4046952).

Almost surely, 2^72122484 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 72122484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97126848).

72122484 is an abundant number, since it is smaller than the sum of its proper divisors (122131212).

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

72122484 is a wasteful number, since it uses less digits than its factorization.

72122484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8616 (or 8614 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 72122484 is about 8492.4957462456. The cubic root of 72122484 is about 416.2525355832.

The spelling of 72122484 in words is "seventy-two million, one hundred twenty-two thousand, four hundred eighty-four".