105724272 has 80 divisors (see below), whose sum is σ = 282009728. Its totient is φ = 34110720.

The previous prime is 105724253. The next prime is 105724273. The reversal of 105724272 is 272427501.

It is a super-2 number, since 2×105724272² = 22355243379859968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105724273) 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, 373443 + ... + 373725.

Almost surely, 2^105724272 is an apocalyptic number.

105724272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105724272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141004864).

105724272 is an abundant number, since it is smaller than the sum of its proper divisors (176285456).

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

105724272 is a wasteful number, since it uses less digits than its factorization.

105724272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 105724272 is about 10282.2308863398. The cubic root of 105724272 is about 472.8516416003.

The spelling of 105724272 in words is "one hundred five million, seven hundred twenty-four thousand, two hundred seventy-two".