114204972 has 96 divisors (see below), whose sum is σ = 323276800. Its totient is φ = 30652992.

The previous prime is 114204949. The next prime is 114204973. The reversal of 114204972 is 279402411.

It is not an unprimeable number, because it can be changed into a prime (114204973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259929 + ... + 260367.

Almost surely, 2^114204972 is an apocalyptic number.

114204972 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 114204972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161638400).

114204972 is an abundant number, since it is smaller than the sum of its proper divisors (209071828).

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

114204972 is a wasteful number, since it uses less digits than its factorization.

114204972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 114204972 is about 10686.6726346417. The cubic root of 114204972 is about 485.1711897897.

The spelling of 114204972 in words is "one hundred fourteen million, two hundred four thousand, nine hundred seventy-two".