212172000 has 96 divisors (see below), whose sum is σ = 695114784. Its totient is φ = 56576000.

The previous prime is 212171989. The next prime is 212172017. The reversal of 212172000 is 271212.

212172000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3160 + ... + 20840.

It is an arithmetic number, because the mean of its divisors is an integer number (7240779).

Almost surely, 2^212172000 is an apocalyptic number.

212172000 is a gapful number since it is divisible by the number (20) 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 212172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347557392).

212172000 is an abundant number, since it is smaller than the sum of its proper divisors (482942784).

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

212172000 is a wasteful number, since it uses less digits than its factorization.

212172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17709 (or 17691 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 212172000 is about 14566.1250852792. The cubic root of 212172000 is about 596.4344084569.

The spelling of 212172000 in words is "two hundred twelve million, one hundred seventy-two thousand".