189948672 has 72 divisors (see below), whose sum is σ = 561732080. Its totient is φ = 63313920.

The previous prime is 189948641. The next prime is 189948691. The reversal of 189948672 is 276849981.

189948672 is a `hidden beast` number, since 1 + 8 + 99 + 486 + 72 = 666.

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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6829 + ... + 20652.

Almost surely, 2^189948672 is an apocalyptic number.

189948672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

189948672 is an abundant number, since it is smaller than the sum of its proper divisors (371783408).

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

189948672 is an equidigital number, since it uses as much as digits as its factorization.

189948672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27506 (or 27486 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 189948672 is about 13782.1867640807. The cubic root of 189948672 is about 574.8379349182.

The spelling of 189948672 in words is "one hundred eighty-nine million, nine hundred forty-eight thousand, six hundred seventy-two".