114537672 has 32 divisors (see below), whose sum is σ = 318160800. Its totient is φ = 38179152.

The previous prime is 114537671. The next prime is 114537673. The reversal of 114537672 is 276735411.

It is a happy number.

114537672 is a `hidden beast` number, since 114 + 537 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (114537671) and next prime (114537673).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (114537671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264918 + ... + 265349.

It is an arithmetic number, because the mean of its divisors is an integer number (9942525).

Almost surely, 2^114537672 is an apocalyptic number.

114537672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114537672 is an abundant number, since it is smaller than the sum of its proper divisors (203623128).

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

114537672 is a wasteful number, since it uses less digits than its factorization.

114537672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530282 (or 530272 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 114537672 is about 10702.2274317078. The cubic root of 114537672 is about 485.6418638767.

The spelling of 114537672 in words is "one hundred fourteen million, five hundred thirty-seven thousand, six hundred seventy-two".