189264672 has 288 divisors, whose sum is σ = 622702080. Its totient is φ = 54190080.

The previous prime is 189264661. The next prime is 189264683. The reversal of 189264672 is 276462981.

It is a happy number.

189264672 is a `hidden beast` number, since 189 + 2 + 6 + 467 + 2 = 666.

189264672 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (189264661) and next prime (189264683).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×189264672² = 71642232134535168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4401483 + ... + 4401525.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 2^189264672 is an apocalyptic number.

189264672 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 189264672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311351040).

189264672 is an abundant number, since it is smaller than the sum of its proper divisors (433437408).

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

189264672 is a wasteful number, since it uses less digits than its factorization.

189264672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 189264672 is about 13757.3497447728. The cubic root of 189264672 is about 574.1471131219.

It can be divided in two parts, 1892 and 64672, that added together give a square (66564 = 258²).

The spelling of 189264672 in words is "one hundred eighty-nine million, two hundred sixty-four thousand, six hundred seventy-two".