114566672 has 90 divisors (see below), whose sum is σ = 262791774. Its totient is φ = 48181760.

The previous prime is 114566659. The next prime is 114566677. The reversal of 114566672 is 276665411.

It can be written as a sum of positive squares in only one way, i.e., 107827456 + 6739216 = 10384^2 + 2596^2 .

It is not an unprimeable number, because it can be changed into a prime (114566677) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1941779 + ... + 1941837.

Almost surely, 2^114566672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114566672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131395887).

114566672 is an abundant number, since it is smaller than the sum of its proper divisors (148225102).

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

114566672 is a wasteful number, since it uses less digits than its factorization.

114566672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 89 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 114566672 is about 10703.5822041034. The cubic root of 114566672 is about 485.6828472649.

The spelling of 114566672 in words is "one hundred fourteen million, five hundred sixty-six thousand, six hundred seventy-two".