5972256 has 72 divisors (see below), whose sum is σ = 17248140. Its totient is φ = 1959936.

The previous prime is 5972209. The next prime is 5972257. The reversal of 5972256 is 6522795.

It can be written as a sum of positive squares in 2 ways, for example, as 5363856 + 608400 = 2316^2 + 780^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 5² + 9³ + 7⁸ + 2¹⁴ + 2¹⁶ + 5⁷ + 6⁶ .

It is a self number, because there is not a number n which added to its sum of digits gives 5972256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5972257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25516 + ... + 25748.

Almost surely, 2^5972256 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 5972256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8624070).

5972256 is an abundant number, since it is smaller than the sum of its proper divisors (11275884).

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

5972256 is a wasteful number, since it uses less digits than its factorization.

5972256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 5972256 is about 2443.8199606354. The cubic root of 5972256 is about 181.4315476219.

Multiplying 5972256 by its sum of digits (36), we get a triangular number (215001216 = T₂₀₇₃₆).

The spelling of 5972256 in words is "five million, nine hundred seventy-two thousand, two hundred fifty-six".