110172972 has 192 divisors, whose sum is σ = 338688000. Its totient is φ = 27659520.

The previous prime is 110172947. The next prime is 110172973. The reversal of 110172972 is 279271011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (110172973) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1551697 + ... + 1551767.

It is an arithmetic number, because the mean of its divisors is an integer number (1764000).

Almost surely, 2^110172972 is an apocalyptic number.

110172972 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 110172972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

110172972 is an abundant number, since it is smaller than the sum of its proper divisors (228515028).

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

110172972 is a wasteful number, since it uses less digits than its factorization.

110172972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 30.

The square root of 110172972 is about 10496.3313590988. The cubic root of 110172972 is about 479.3930000828.

The spelling of 110172972 in words is "one hundred ten million, one hundred seventy-two thousand, nine hundred seventy-two".