72254196 has 72 divisors (see below), whose sum is σ = 215953920. Its totient is φ = 19930176.

The previous prime is 72254183. The next prime is 72254197. The reversal of 72254196 is 69145227.

72254196 is a `hidden beast` number, since 7 + 22 + 541 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72254196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72254197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2365 + ... + 12251.

It is an arithmetic number, because the mean of its divisors is an integer number (2999360).

Almost surely, 2^72254196 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 72254196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107976960).

72254196 is an abundant number, since it is smaller than the sum of its proper divisors (143699724).

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

72254196 is a wasteful number, since it uses less digits than its factorization.

72254196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9933 (or 9928 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 72254196 is about 8500.2468199459. The cubic root of 72254196 is about 416.5057719767.

The spelling of 72254196 in words is "seventy-two million, two hundred fifty-four thousand, one hundred ninety-six".