114387672 has 32 divisors (see below), whose sum is σ = 326822400. Its totient is φ = 32682144.

The previous prime is 114387667. The next prime is 114387673. The reversal of 114387672 is 276783411.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114387672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114387673) 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, 340272 + ... + 340607.

It is an arithmetic number, because the mean of its divisors is an integer number (10213200).

Almost surely, 2^114387672 is an apocalyptic number.

114387672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114387672 is an abundant number, since it is smaller than the sum of its proper divisors (212434728).

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

114387672 is a wasteful number, since it uses less digits than its factorization.

114387672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680895 (or 680891 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 114387672 is about 10695.2172488454. The cubic root of 114387672 is about 485.4297703311.

It can be divided in two parts, 11438 and 7672, that added together give a triangular number (19110 = T₁₉₅).

The spelling of 114387672 in words is "one hundred fourteen million, three hundred eighty-seven thousand, six hundred seventy-two".