1972112 has 30 divisors (see below), whose sum is σ = 4011462. Its totient is φ = 939136.

The previous prime is 1972111. The next prime is 1972121. The reversal of 1972112 is 2112791.

It can be written as a sum of positive squares in only one way, i.e., 1430416 + 541696 = 1196^2 + 736^2 .

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (1972111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8348 + ... + 8580.

2^1972112 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 1972112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005731).

1972112 is an abundant number, since it is smaller than the sum of its proper divisors (2039350).

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

1972112 is a wasteful number, since it uses less digits than its factorization.

1972112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 258 counting only the distinct ones).

The product of its digits is 252, while the sum is 23.

The square root of 1972112 is about 1404.3190520676. The cubic root of 1972112 is about 125.4037504803.

The spelling of 1972112 in words is "one million, nine hundred seventy-two thousand, one hundred twelve".