114415720 has 64 divisors (see below), whose sum is σ = 273052800. Its totient is φ = 43027200.

The previous prime is 114415709. The next prime is 114415723. The reversal of 114415720 is 27514411.

It is not an unprimeable number, because it can be changed into a prime (114415723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114262 + ... + 115258.

It is an arithmetic number, because the mean of its divisors is an integer number (4266450).

Almost surely, 2^114415720 is an apocalyptic number.

114415720 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 114415720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136526400).

114415720 is an abundant number, since it is smaller than the sum of its proper divisors (158637080).

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

114415720 is a wasteful number, since it uses less digits than its factorization.

114415720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 114415720 is about 10696.5284087876. The cubic root of 114415720 is about 485.4694430840.

It can be divided in two parts, 11441 and 5720, that multiplied together give a triangular number (65442520 = T₁₁₄₄₀).

The spelling of 114415720 in words is "one hundred fourteen million, four hundred fifteen thousand, seven hundred twenty".