114462720 has 312 divisors, whose sum is σ = 429339456. Its totient is φ = 29196288.

The previous prime is 114462701. The next prime is 114462737. The reversal of 114462720 is 27264411.

114462720 is a `hidden beast` number, since 1 + 14 + 4 + 627 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4976629 + ... + 4976651.

It is an arithmetic number, because the mean of its divisors is an integer number (1376088).

Almost surely, 2^114462720 is an apocalyptic number.

114462720 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 114462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214669728).

114462720 is an abundant number, since it is smaller than the sum of its proper divisors (314876736).

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

114462720 is an frugal number, since it uses more digits than its factorization.

114462720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 114462720 is about 10698.7251576999. The cubic root of 114462720 is about 485.5359081357.

The spelling of 114462720 in words is "one hundred fourteen million, four hundred sixty-two thousand, seven hundred twenty".