72202116 has 48 divisors (see below), whose sum is σ = 193729536. Its totient is φ = 20501664.

The previous prime is 72202103. The next prime is 72202127. The reversal of 72202116 is 61120227.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 72202092 and 72202101.

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 15 ways as a sum of consecutive naturals, for example, 11455 + ... + 16601.

It is an arithmetic number, because the mean of its divisors is an integer number (4036032).

Almost surely, 2^72202116 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 72202116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96864768).

72202116 is an abundant number, since it is smaller than the sum of its proper divisors (121527420).

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

72202116 is a wasteful number, since it uses less digits than its factorization.

72202116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5328 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 72202116 is about 8497.1828272669. The cubic root of 72202116 is about 416.4056770545.

The spelling of 72202116 in words is "seventy-two million, two hundred two thousand, one hundred sixteen".