114672000 has 128 divisors (see below), whose sum is σ = 380296800. Its totient is φ = 30566400.

The previous prime is 114671993. The next prime is 114672023. The reversal of 114672000 is 276411.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 46806 + ... + 49194.

Almost surely, 2^114672000 is an apocalyptic number.

114672000 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 114672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190148400).

114672000 is an abundant number, since it is smaller than the sum of its proper divisors (265624800).

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

114672000 is an equidigital number, since it uses as much as digits as its factorization.

114672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 114672000 is about 10708.5012956996. The cubic root of 114672000 is about 485.8316407814.

The spelling of 114672000 in words is "one hundred fourteen million, six hundred seventy-two thousand".