1072890 has 96 divisors (see below), whose sum is σ = 3459456. Its totient is φ = 224640.

The previous prime is 1072867. The next prime is 1072901. The reversal of 1072890 is 982701.

It is an Ulam number.

It is a congruent number.

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, 8125 + ... + 8255.

It is an arithmetic number, because the mean of its divisors is an integer number (36036).

2^1072890 is an apocalyptic number.

1072890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729728).

1072890 is an abundant number, since it is smaller than the sum of its proper divisors (2386566).

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

1072890 is a wasteful number, since it uses less digits than its factorization.

1072890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1072890 is about 1035.8040355202. The cubic root of 1072890 is about 102.3729140804.

It can be divided in two parts, 10 and 72890, that added together give a square (72900 = 270²).

The spelling of 1072890 in words is "one million, seventy-two thousand, eight hundred ninety".