849072 has 90 divisors (see below), whose sum is σ = 2692908. Its totient is φ = 229824.

The previous prime is 849061. The next prime is 849083. The reversal of 849072 is 270948.

849072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (849061) and next prime (849083).

It is a super-2 number, since 2×849072² = 1441846522368, which contains 22 as substring.

It is an unprimeable number.

849072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44679 + ... + 44697.

2⁸⁴⁹⁰⁷² 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 849072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346454).

849072 is an abundant number, since it is smaller than the sum of its proper divisors (1843836).

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

849072 is a wasteful number, since it uses less digits than its factorization.

849072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 849072 is about 921.4510296266. The cubic root of 849072 is about 94.6923380312.

The spelling of 849072 in words is "eight hundred forty-nine thousand, seventy-two".