187172064 has 72 divisors (see below), whose sum is σ = 535134600. Its totient is φ = 62055168.

The previous prime is 187172039. The next prime is 187172099. The reversal of 187172064 is 460271781.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55087 + ... + 58385.

It is an arithmetic number, because the mean of its divisors is an integer number (7432425).

Almost surely, 2^187172064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187172064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267567300).

187172064 is an abundant number, since it is smaller than the sum of its proper divisors (347962536).

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

187172064 is a wasteful number, since it uses less digits than its factorization.

187172064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 187172064 is about 13681.0841675651. The cubic root of 187172064 is about 572.0232438759.

The spelling of 187172064 in words is "one hundred eighty-seven million, one hundred seventy-two thousand, sixty-four".