1089072 has 40 divisors (see below), whose sum is σ = 3127280. Its totient is φ = 362880.

The previous prime is 1089047. The next prime is 1089091. The reversal of 1089072 is 2709801.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 829 + ... + 1692.

It is an arithmetic number, because the mean of its divisors is an integer number (78182).

2^1089072 is an apocalyptic number.

1089072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1089072 is an abundant number, since it is smaller than the sum of its proper divisors (2038208).

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

1089072 is a wasteful number, since it uses less digits than its factorization.

1089072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2526 counting only the distinct ones).

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

The square root of 1089072 is about 1043.5861248599. The cubic root of 1089072 is about 102.8850321198.

It can be divided in two parts, 108 and 9072, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 1089072 in words is "one million, eighty-nine thousand, seventy-two".