1382472 has 96 divisors (see below), whose sum is σ = 4630080. Its totient is φ = 362880.

The previous prime is 1382449. The next prime is 1382477. The reversal of 1382472 is 2742831.

It is a super-2 number, since 2×1382472² = 3822457661568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1382477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6447 + ... + 6657.

It is an arithmetic number, because the mean of its divisors is an integer number (48230).

2^1382472 is an apocalyptic number.

1382472 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 1382472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315040).

1382472 is an abundant number, since it is smaller than the sum of its proper divisors (3247608).

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

1382472 is a wasteful number, since it uses less digits than its factorization.

1382472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 236 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 1382472 is about 1175.7856947590. The cubic root of 1382472 is about 111.4000659685.

The spelling of 1382472 in words is "one million, three hundred eighty-two thousand, four hundred seventy-two".