212941872 has 240 divisors, whose sum is σ = 727953408. Its totient is φ = 59408640.

The previous prime is 212941793. The next prime is 212941901. The reversal of 212941872 is 278149212.

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

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555793 + ... + 556175.

Almost surely, 2^212941872 is an apocalyptic number.

212941872 is a gapful number since it is divisible by the number (22) 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 212941872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363976704).

212941872 is an abundant number, since it is smaller than the sum of its proper divisors (515011536).

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

212941872 is a wasteful number, since it uses less digits than its factorization.

212941872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 412 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 212941872 is about 14592.5279509755. The cubic root of 212941872 is about 597.1549306237.

The spelling of 212941872 in words is "two hundred twelve million, nine hundred forty-one thousand, eight hundred seventy-two".