182475072 has 112 divisors (see below), whose sum is σ = 577778880. Its totient is φ = 56139264.

The previous prime is 182475067. The next prime is 182475119. The reversal of 182475072 is 270574281.

182475072 is a `hidden beast` number, since 182 + 475 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18403 + ... + 26525.

It is an arithmetic number, because the mean of its divisors is an integer number (5158740).

Almost surely, 2^182475072 is an apocalyptic number.

182475072 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 182475072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288889440).

182475072 is an abundant number, since it is smaller than the sum of its proper divisors (395303808).

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

182475072 is a wasteful number, since it uses less digits than its factorization.

182475072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8157 (or 8141 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 182475072 is about 13508.3334279251. Note that the first 3 decimals coincide. The cubic root of 182475072 is about 567.1977698161.

The spelling of 182475072 in words is "one hundred eighty-two million, four hundred seventy-five thousand, seventy-two".