114996672 has 140 divisors (see below), whose sum is σ = 389707120. Its totient is φ = 32845824.

The previous prime is 114996671. The next prime is 114996731. The reversal of 114996672 is 276699411.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114996671) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34704 + ... + 37872.

Almost surely, 2^114996672 is an apocalyptic number.

114996672 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 114996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194853560).

114996672 is an abundant number, since it is smaller than the sum of its proper divisors (274710448).

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

114996672 is an equidigital number, since it uses as much as digits as its factorization.

114996672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3200 (or 3181 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 114996672 is about 10723.6501248409. The cubic root of 114996672 is about 486.2897220850.

The spelling of 114996672 in words is "one hundred fourteen million, nine hundred ninety-six thousand, six hundred seventy-two".