182952672 has 288 divisors, whose sum is σ = 620524800. Its totient is φ = 46835712.

The previous prime is 182952647. The next prime is 182952689. The reversal of 182952672 is 276259281.

182952672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2055604 + ... + 2055692.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2^182952672 is an apocalyptic number.

182952672 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 182952672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310262400).

182952672 is an abundant number, since it is smaller than the sum of its proper divisors (437572128).

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

182952672 is a wasteful number, since it uses less digits than its factorization.

182952672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 182952672 is about 13525.9998521366. Note that the first 3 decimals coincide. The cubic root of 182952672 is about 567.6921892352.

It can be divided in two parts, 182952 and 672, that multiplied together give a square (122943744 = 11088²).

The spelling of 182952672 in words is "one hundred eighty-two million, nine hundred fifty-two thousand, six hundred seventy-two".