212578072 has 48 divisors (see below), whose sum is σ = 465804000. Its totient is φ = 90683712.

The previous prime is 212578049. The next prime is 212578087. The reversal of 212578072 is 270875212.

212578072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92554 + ... + 94822.

It is an arithmetic number, because the mean of its divisors is an integer number (9704250).

Almost surely, 2^212578072 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 212578072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232902000).

212578072 is an abundant number, since it is smaller than the sum of its proper divisors (253225928).

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

212578072 is a wasteful number, since it uses less digits than its factorization.

212578072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 212578072 is about 14580.0573387076. The cubic root of 212578072 is about 596.8146675017.

The spelling of 212578072 in words is "two hundred twelve million, five hundred seventy-eight thousand, seventy-two".