10182672 has 90 divisors (see below), whose sum is σ = 29896958. Its totient is φ = 3359232.

The previous prime is 10182661. The next prime is 10182673. The reversal of 10182672 is 27628101.

It can be written as a sum of positive squares in only one way, i.e., 8503056 + 1679616 = 2916^2 + 1296^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10182673) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 104928 + ... + 105024.

Almost surely, 2^10182672 is an apocalyptic number.

10182672 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 10182672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14948479).

10182672 is an abundant number, since it is smaller than the sum of its proper divisors (19714286).

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

10182672 is an frugal number, since it uses more digits than its factorization.

10182672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10182672 is about 3191.0299277819. The cubic root of 10182672 is about 216.7474107999.

Subtracting from 10182672 its product of nonzero digits (1344), we obtain a triangular number (10181328 = T₄₅₁₂).

The spelling of 10182672 in words is "ten million, one hundred eighty-two thousand, six hundred seventy-two".