1924272 has 120 divisors (see below), whose sum is σ = 6499584. Its totient is φ = 519552.

The previous prime is 1924261. The next prime is 1924283. The reversal of 1924272 is 2724291.

It is an interprime number because it is at equal distance from previous prime (1924261) and next prime (1924283).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23143 + ... + 23225.

2^1924272 is an apocalyptic number.

1924272 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 1924272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249792).

1924272 is an abundant number, since it is smaller than the sum of its proper divisors (4575312).

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

1924272 is a wasteful number, since it uses less digits than its factorization.

1924272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 118 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 1924272 is about 1387.1813147530. The cubic root of 1924272 is about 124.3814131858.

The spelling of 1924272 in words is "one million, nine hundred twenty-four thousand, two hundred seventy-two".