114351872 has 72 divisors (see below), whose sum is σ = 240497040. Its totient is φ = 54190080.

The previous prime is 114351871. The next prime is 114351977. The reversal of 114351872 is 278153411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114351871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541847 + ... + 542057.

Almost surely, 2^114351872 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 114351872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120248520).

114351872 is an abundant number, since it is smaller than the sum of its proper divisors (126145168).

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

114351872 is an equidigital number, since it uses as much as digits as its factorization.

114351872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 315 counting only the distinct ones).

The product of its digits is 6720, while the sum is 32.

The square root of 114351872 is about 10693.5434725819. The cubic root of 114351872 is about 485.3791232676.

The spelling of 114351872 in words is "one hundred fourteen million, three hundred fifty-one thousand, eight hundred seventy-two".