212572256 has 72 divisors (see below), whose sum is σ = 473150160. Its totient is φ = 93789696.

The previous prime is 212572253. The next prime is 212572271. The reversal of 212572256 is 652275212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212572253) 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, 123530 + ... + 125238.

It is an arithmetic number, because the mean of its divisors is an integer number (6571530).

Almost surely, 2^212572256 is an apocalyptic number.

212572256 is a gapful number since it is divisible by the number (26) 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 212572256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236575080).

212572256 is an abundant number, since it is smaller than the sum of its proper divisors (260577904).

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

212572256 is a wasteful number, since it uses less digits than its factorization.

212572256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1747 counting only the distinct ones).

The product of its digits is 16800, while the sum is 32.

The square root of 212572256 is about 14579.8578868245. The cubic root of 212572256 is about 596.8092246296.

The spelling of 212572256 in words is "two hundred twelve million, five hundred seventy-two thousand, two hundred fifty-six".