114782720 has 80 divisors (see below), whose sum is σ = 296465400. Its totient is φ = 42369024.

The previous prime is 114782713. The next prime is 114782729. The reversal of 114782720 is 27287411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 31899904 + 82882816 = 5648^2 + 9104^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114782729) 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, 31556 + ... + 35004.

Almost surely, 2^114782720 is an apocalyptic number.

114782720 is a gapful number since it is divisible by the number (10) 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 114782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148232700).

114782720 is an abundant number, since it is smaller than the sum of its proper divisors (181682680).

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

114782720 is an equidigital number, since it uses as much as digits as its factorization.

114782720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 114782720 is about 10713.6697727716. The cubic root of 114782720 is about 485.9879532089.

The spelling of 114782720 in words is "one hundred fourteen million, seven hundred eighty-two thousand, seven hundred twenty".