1972256 has 48 divisors (see below), whose sum is σ = 4572288. Its totient is φ = 825600.

The previous prime is 1972249. The next prime is 1972259. The reversal of 1972256 is 6522791.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 1 + 9³ + 7⁴ + 2⁵ + 2¹³ + 5⁹ + 6⁵ .

It is not an unprimeable number, because it can be changed into a prime (1972259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4361 + ... + 4791.

It is an arithmetic number, because the mean of its divisors is an integer number (95256).

2^1972256 is an apocalyptic number.

1972256 is a gapful number since it is divisible by the number (16) 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 1972256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286144).

1972256 is an abundant number, since it is smaller than the sum of its proper divisors (2600032).

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

1972256 is a wasteful number, since it uses less digits than its factorization.

1972256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 457 counting only the distinct ones).

The product of its digits is 7560, while the sum is 32.

The square root of 1972256 is about 1404.3703215320. The cubic root of 1972256 is about 125.4068026566.

The spelling of 1972256 in words is "one million, nine hundred seventy-two thousand, two hundred fifty-six".