1990272 has 64 divisors (see below), whose sum is σ = 5434560. Its totient is φ = 645120.

The previous prime is 1990253. The next prime is 1990273. The reversal of 1990272 is 2720991.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1990272² = 7922365267968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1990273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27228 + ... + 27300.

It is an arithmetic number, because the mean of its divisors is an integer number (84915).

2^1990272 is an apocalyptic number.

1990272 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 1990272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717280).

1990272 is an abundant number, since it is smaller than the sum of its proper divisors (3444288).

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

1990272 is an equidigital number, since it uses as much as digits as its factorization.

1990272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 1990272 is about 1410.7700025164. The cubic root of 1990272 is about 125.7874976939.

The spelling of 1990272 in words is "one million, nine hundred ninety thousand, two hundred seventy-two".