114953472 has 72 divisors (see below), whose sum is σ = 339958080. Its totient is φ = 38315520.

The previous prime is 114953437. The next prime is 114953479. The reversal of 114953472 is 274359411.

114953472 is a `hidden beast` number, since 11 + 49 + 534 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114953479) 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, 1404 + ... + 15227.

It is an arithmetic number, because the mean of its divisors is an integer number (4721640).

Almost surely, 2^114953472 is an apocalyptic number.

114953472 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 114953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169979040).

114953472 is an abundant number, since it is smaller than the sum of its proper divisors (225004608).

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

114953472 is an equidigital number, since it uses as much as digits as its factorization.

114953472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16656 (or 16636 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 114953472 is about 10721.6356961053. The cubic root of 114953472 is about 486.2288207656.

The spelling of 114953472 in words is "one hundred fourteen million, nine hundred fifty-three thousand, four hundred seventy-two".