114172920 has 96 divisors (see below), whose sum is σ = 387223200. Its totient is φ = 29120256.

The previous prime is 114172909. The next prime is 114172931. The reversal of 114172920 is 29271411.

It is an interprime number because it is at equal distance from previous prime (114172909) and next prime (114172931).

It is a super-2 number, since 2×114172920² = 26070911322652800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1386 + ... + 15174.

It is an arithmetic number, because the mean of its divisors is an integer number (4033575).

Almost surely, 2^114172920 is an apocalyptic number.

114172920 is a gapful number since it is divisible by the number (10) 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 114172920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193611600).

114172920 is an abundant number, since it is smaller than the sum of its proper divisors (273050280).

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

114172920 is a wasteful number, since it uses less digits than its factorization.

114172920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13829 (or 13822 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 114172920 is about 10685.1729045439. The cubic root of 114172920 is about 485.1257972476.

The spelling of 114172920 in words is "one hundred fourteen million, one hundred seventy-two thousand, nine hundred twenty".