109582272 has 252 divisors, whose sum is σ = 362321856. Its totient is φ = 31518720.

The previous prime is 109582247. The next prime is 109582279. The reversal of 109582272 is 272285901.

109582272 is a `hidden beast` number, since 1 + 0 + 9 + 582 + 2 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109582279) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3534897 + ... + 3534927.

Almost surely, 2^109582272 is an apocalyptic number.

109582272 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 109582272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181160928).

109582272 is an abundant number, since it is smaller than the sum of its proper divisors (252739584).

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

109582272 is a wasteful number, since it uses less digits than its factorization.

109582272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 72 counting only the distinct ones).

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

The square root of 109582272 is about 10468.1551383231. The cubic root of 109582272 is about 478.5346980731.

The spelling of 109582272 in words is "one hundred nine million, five hundred eighty-two thousand, two hundred seventy-two".