114872856 has 192 divisors, whose sum is σ = 362465280. Its totient is φ = 30159360.

The previous prime is 114872851. The next prime is 114872861. The reversal of 114872856 is 658278411.

It is an interprime number because it is at equal distance from previous prime (114872851) and next prime (114872861).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114872851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 838420 + ... + 838556.

It is an arithmetic number, because the mean of its divisors is an integer number (1887840).

Almost surely, 2^114872856 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 114872856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181232640).

114872856 is an abundant number, since it is smaller than the sum of its proper divisors (247592424).

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

114872856 is a wasteful number, since it uses less digits than its factorization.

114872856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 203 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 114872856 is about 10717.8755357580. The cubic root of 114872856 is about 486.1151313208.

The spelling of 114872856 in words is "one hundred fourteen million, eight hundred seventy-two thousand, eight hundred fifty-six".