187379712 has 312 divisors, whose sum is σ = 644009184. Its totient is φ = 51904512.

The previous prime is 187379711. The next prime is 187379713. The reversal of 187379712 is 217973781.

It is an interprime number because it is at equal distance from previous prime (187379711) and next prime (187379713).

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×187379712² = 70222312938405888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (187379711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8146933 + ... + 8146955.

It is an arithmetic number, because the mean of its divisors is an integer number (2064132).

Almost surely, 2^187379712 is an apocalyptic number.

187379712 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 187379712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322004592).

187379712 is an abundant number, since it is smaller than the sum of its proper divisors (456629472).

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

187379712 is a wasteful number, since it uses less digits than its factorization.

187379712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its digits is 148176, while the sum is 45.

The square root of 187379712 is about 13688.6709362158. The cubic root of 187379712 is about 572.2346991942.

The spelling of 187379712 in words is "one hundred eighty-seven million, three hundred seventy-nine thousand, seven hundred twelve".