72198252 has 144 divisors (see below), whose sum is σ = 232727040. Its totient is φ = 18372096.

The previous prime is 72198229. The next prime is 72198277. The reversal of 72198252 is 25289127.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80953 + ... + 81839.

It is an arithmetic number, because the mean of its divisors is an integer number (1616160).

Almost surely, 2^72198252 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 72198252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116363520).

72198252 is an abundant number, since it is smaller than the sum of its proper divisors (160528788).

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

72198252 is a wasteful number, since it uses less digits than its factorization.

72198252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 935 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 72198252 is about 8496.9554547497. The cubic root of 72198252 is about 416.3982487393.

The spelling of 72198252 in words is "seventy-two million, one hundred ninety-eight thousand, two hundred fifty-two".