99972224 has 128 divisors (see below), whose sum is σ = 237211200. Its totient is φ = 41472000.

The previous prime is 99972221. The next prime is 99972233. The reversal of 99972224 is 42227999.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×99972224³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99972221) by changing a digit.

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, 989774 + ... + 989874.

Almost surely, 2^99972224 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 99972224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118605600).

99972224 is an abundant number, since it is smaller than the sum of its proper divisors (137238976).

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

99972224 is a wasteful number, since it uses less digits than its factorization.

99972224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its digits is 163296, while the sum is 44.

The square root of 99972224 is about 9998.6111035483. The cubic root of 99972224 is about 464.1159044579.

It can be divided in two parts, 9997 and 2224, that added together give a palindrome (12221).

The spelling of 99972224 in words is "ninety-nine million, nine hundred seventy-two thousand, two hundred twenty-four".