114652720 has 80 divisors (see below), whose sum is σ = 328104000. Its totient is φ = 36283392.

The previous prime is 114652711. The next prime is 114652757. The reversal of 114652720 is 27256411.

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 (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595 + ... + 15154.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 2^114652720 is an apocalyptic number.

114652720 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 114652720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164052000).

114652720 is an abundant number, since it is smaller than the sum of its proper divisors (213451280).

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

114652720 is a wasteful number, since it uses less digits than its factorization.

114652720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15782 (or 15776 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 114652720 is about 10707.6010385146. The cubic root of 114652720 is about 485.8044113530.

The spelling of 114652720 in words is "one hundred fourteen million, six hundred fifty-two thousand, seven hundred twenty".