182868672 has 112 divisors (see below), whose sum is σ = 558751232. Its totient is φ = 51701760.

The previous prime is 182868641. The next prime is 182868713. The reversal of 182868672 is 276868281.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137772 + ... + 139092.

Almost surely, 2^182868672 is an apocalyptic number.

182868672 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 182868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279375616).

182868672 is an abundant number, since it is smaller than the sum of its proper divisors (375882560).

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

182868672 is a wasteful number, since it uses less digits than its factorization.

182868672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1436 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 182868672 is about 13522.8943647431. The cubic root of 182868672 is about 567.6052934580.

It can be divided in two parts, 1828 and 68672, that added together give a triangular number (70500 = T₃₇₅).

The spelling of 182868672 in words is "one hundred eighty-two million, eight hundred sixty-eight thousand, six hundred seventy-two".