212972544 has 88 divisors (see below), whose sum is σ = 630803520. Its totient is φ = 70981632.

The previous prime is 212972527. The next prime is 212972561. The reversal of 212972544 is 445279212.

212972544 is a `hidden beast` number, since 21 + 2 + 97 + 2 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (212972527) and next prime (212972561).

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

It is a junction number, because it is equal to n+sod(n) for n = 212972499 and 212972508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23797 + ... + 31499.

Almost surely, 2^212972544 is an apocalyptic number.

212972544 is a gapful number since it is divisible by the number (24) 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 212972544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315401760).

212972544 is an abundant number, since it is smaller than the sum of its proper divisors (417830976).

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

212972544 is an equidigital number, since it uses as much as digits as its factorization.

212972544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7732 (or 7708 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 212972544 is about 14593.5788619516. The cubic root of 212972544 is about 597.1836005083.

The spelling of 212972544 in words is "two hundred twelve million, nine hundred seventy-two thousand, five hundred forty-four".