1900272 has 80 divisors (see below), whose sum is σ = 5535360. Its totient is φ = 556800.

The previous prime is 1900267. The next prime is 1900273. The reversal of 1900272 is 2720091.

It is a happy number.

It is a super-2 number, since 2×1900272² = 7222067347968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1900273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31122 + ... + 31182.

It is an arithmetic number, because the mean of its divisors is an integer number (69192).

2^1900272 is an apocalyptic number.

1900272 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 1900272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767680).

1900272 is an abundant number, since it is smaller than the sum of its proper divisors (3635088).

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

1900272 is a wasteful number, since it uses less digits than its factorization.

1900272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 1900272 is about 1378.5035364481. The cubic root of 1900272 is about 123.8621430135.

The spelling of 1900272 in words is "one million, nine hundred thousand, two hundred seventy-two".