189792720 has 240 divisors, whose sum is σ = 712787712. Its totient is φ = 46656000.

The previous prime is 189792719. The next prime is 189792763. The reversal of 189792720 is 27297981.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 252345 + ... + 253095.

Almost surely, 2^189792720 is an apocalyptic number.

189792720 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 189792720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356393856).

189792720 is an abundant number, since it is smaller than the sum of its proper divisors (522994992).

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

189792720 is a wasteful number, since it uses less digits than its factorization.

189792720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 189792720 is about 13776.5278644512. The cubic root of 189792720 is about 574.6805736866.

The spelling of 189792720 in words is "one hundred eighty-nine million, seven hundred ninety-two thousand, seven hundred twenty".