114723672 has 128 divisors (see below), whose sum is σ = 348979200. Its totient is φ = 30699648.

The previous prime is 114723659. The next prime is 114723673. The reversal of 114723672 is 276327411.

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

Its product of digits (14112) is a multiple of the sum of its prime divisors (441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114723673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405243 + ... + 405525.

It is an arithmetic number, because the mean of its divisors is an integer number (2726400).

Almost surely, 2^114723672 is an apocalyptic number.

114723672 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 114723672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174489600).

114723672 is an abundant number, since it is smaller than the sum of its proper divisors (234255528).

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

114723672 is a wasteful number, since it uses less digits than its factorization.

114723672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 441 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 114723672 is about 10710.9136865162. The cubic root of 114723672 is about 485.9046028611.

The spelling of 114723672 in words is "one hundred fourteen million, seven hundred twenty-three thousand, six hundred seventy-two".