1962272 has 48 divisors (see below), whose sum is σ = 4286520. Its totient is φ = 878592.

The previous prime is 1962271. The next prime is 1962283. The reversal of 1962272 is 2722691.

It can be written as a sum of positive squares in 4 ways, for example, as 1263376 + 698896 = 1124^2 + 836^2 .

It is a super-2 number, since 2×1962272² = 7701022803968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1962271) 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, 22004 + ... + 22092.

2^1962272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1962272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143260).

1962272 is an abundant number, since it is smaller than the sum of its proper divisors (2324248).

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

1962272 is a wasteful number, since it uses less digits than its factorization.

1962272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 1962272 is about 1400.8111935589. The cubic root of 1962272 is about 125.1948321656.

The spelling of 1962272 in words is "one million, nine hundred sixty-two thousand, two hundred seventy-two".