114123672 has 144 divisors (see below), whose sum is σ = 341719560. Its totient is φ = 34384896.

The previous prime is 114123649. The next prime is 114123673. The reversal of 114123672 is 276321411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114123673) 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, 1009888 + ... + 1010000.

Almost surely, 2^114123672 is an apocalyptic number.

114123672 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 114123672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170859780).

114123672 is an abundant number, since it is smaller than the sum of its proper divisors (227595888).

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

114123672 is a wasteful number, since it uses less digits than its factorization.

114123672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 114123672 is about 10682.8681541990. The cubic root of 114123672 is about 485.0560349045.

The spelling of 114123672 in words is "one hundred fourteen million, one hundred twenty-three thousand, six hundred seventy-two".