189672000 has 224 divisors, whose sum is σ = 716401920. Its totient is φ = 43315200.

The previous prime is 189671987. The next prime is 189672013. The reversal of 189672000 is 276981.

It is an interprime number because it is at equal distance from previous prime (189671987) and next prime (189672013).

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 167436 + ... + 168564.

Almost surely, 2^189672000 is an apocalyptic number.

189672000 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 189672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358200960).

189672000 is an abundant number, since it is smaller than the sum of its proper divisors (526729920).

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

189672000 is a wasteful number, since it uses less digits than its factorization.

189672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 189672000 is about 13772.1458023069. The cubic root of 189672000 is about 574.5587036221.

The spelling of 189672000 in words is "one hundred eighty-nine million, six hundred seventy-two thousand".