114300720 has 200 divisors, whose sum is σ = 410509440. Its totient is φ = 29445120.

The previous prime is 114300691. The next prime is 114300749. The reversal of 114300720 is 27003411.

It is an interprime number because it is at equal distance from previous prime (114300691) and next prime (114300749).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114300693 and 114300702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 200596 + ... + 201164.

Almost surely, 2^114300720 is an apocalyptic number.

114300720 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 114300720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205254720).

114300720 is an abundant number, since it is smaller than the sum of its proper divisors (296208720).

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

114300720 is a wasteful number, since it uses less digits than its factorization.

114300720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 114300720 is about 10691.1514814822. The cubic root of 114300720 is about 485.3067390398.

The spelling of 114300720 in words is "one hundred fourteen million, three hundred thousand, seven hundred twenty".