114456672 has 96 divisors (see below), whose sum is σ = 364210560. Its totient is φ = 34680960.

The previous prime is 114456659. The next prime is 114456673. The reversal of 114456672 is 276654411.

It is a tau number, because it is divible by the number of its divisors (96).

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 (114456673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3483 + ... + 15525.

It is an arithmetic number, because the mean of its divisors is an integer number (3793860).

Almost surely, 2^114456672 is an apocalyptic number.

114456672 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 114456672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182105280).

114456672 is an abundant number, since it is smaller than the sum of its proper divisors (249753888).

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

114456672 is a wasteful number, since it uses less digits than its factorization.

114456672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12073 (or 12059 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 114456672 is about 10698.4425034675. The cubic root of 114456672 is about 485.5273563764.

The spelling of 114456672 in words is "one hundred fourteen million, four hundred fifty-six thousand, six hundred seventy-two".