1792272 has 20 divisors (see below), whose sum is σ = 4630160. Its totient is φ = 597408.

The previous prime is 1792267. The next prime is 1792277. The reversal of 1792272 is 2722971.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1792267) and next prime (1792277).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (1792277) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18622 + ... + 18717.

It is an arithmetic number, because the mean of its divisors is an integer number (231508).

2^1792272 is an apocalyptic number.

1792272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1792272 is an abundant number, since it is smaller than the sum of its proper divisors (2837888).

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

1792272 is a wasteful number, since it uses less digits than its factorization.

1792272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37350 (or 37344 counting only the distinct ones).

The product of its digits is 3528, while the sum is 30.

The square root of 1792272 is about 1338.7576330315. The cubic root of 1792272 is about 121.4697040418.

The spelling of 1792272 in words is "one million, seven hundred ninety-two thousand, two hundred seventy-two".