114972 has 48 divisors (see below), whose sum is σ = 319872. Its totient is φ = 31680.

The previous prime is 114967. The next prime is 114973. The reversal of 114972 is 279411.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1683 + ... + 1749.

It is an arithmetic number, because the mean of its divisors is an integer number (6664).

2¹¹⁴⁹⁷² is an apocalyptic number.

114972 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 114972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159936).

114972 is an abundant number, since it is smaller than the sum of its proper divisors (204900).

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

114972 is a wasteful number, since it uses less digits than its factorization.

114972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 96 counting only the distinct ones).

The product of its digits is 504, while the sum is 24.

The square root of 114972 is about 339.0752128953. The cubic root of 114972 is about 48.6254942533.

It can be divided in two parts, 1149 and 72, that multiplied together give a palindrome (82728).

The spelling of 114972 in words is "one hundred fourteen thousand, nine hundred seventy-two".