199752672 has 48 divisors (see below), whose sum is σ = 599260032. Its totient is φ = 57072000.

The previous prime is 199752671. The next prime is 199752691. The reversal of 199752672 is 276257991.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×199752672² = 79802259942279168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199752671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147954 + ... + 149297.

It is an arithmetic number, because the mean of its divisors is an integer number (12484584).

Almost surely, 2^199752672 is an apocalyptic number.

199752672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199752672 is an abundant number, since it is smaller than the sum of its proper divisors (399507360).

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

199752672 is a wasteful number, since it uses less digits than its factorization.

199752672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297271 (or 297263 counting only the distinct ones).

The product of its digits is 476280, while the sum is 48.

The square root of 199752672 is about 14133.3885533512. The cubic root of 199752672 is about 584.5623843848.

The spelling of 199752672 in words is "one hundred ninety-nine million, seven hundred fifty-two thousand, six hundred seventy-two".