114597672 has 64 divisors (see below), whose sum is σ = 334128000. Its totient is φ = 32739840.

The previous prime is 114597653. The next prime is 114597673. The reversal of 114597672 is 276795411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (114597673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1272 + ... + 15192.

It is an arithmetic number, because the mean of its divisors is an integer number (5220750).

Almost surely, 2^114597672 is an apocalyptic number.

114597672 is a gapful number since it is divisible by the number (12) 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 114597672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167064000).

114597672 is an abundant number, since it is smaller than the sum of its proper divisors (219530328).

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

114597672 is a wasteful number, since it uses less digits than its factorization.

114597672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13951 (or 13933 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 114597672 is about 10705.0302194809. The cubic root of 114597672 is about 485.7266494464.

The spelling of 114597672 in words is "one hundred fourteen million, five hundred ninety-seven thousand, six hundred seventy-two".