212739072 has 176 divisors, whose sum is σ = 698796672. Its totient is φ = 56033280.

The previous prime is 212739031. The next prime is 212739077. The reversal of 212739072 is 270937212.

It is not an unprimeable number, because it can be changed into a prime (212739077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279172 + ... + 279932.

Almost surely, 2^212739072 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 212739072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349398336).

212739072 is an abundant number, since it is smaller than the sum of its proper divisors (486057600).

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

212739072 is a wasteful number, since it uses less digits than its factorization.

212739072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 212739072 is about 14585.5775339888. The cubic root of 212739072 is about 596.9652990837.

The spelling of 212739072 in words is "two hundred twelve million, seven hundred thirty-nine thousand, seventy-two".