1035072 has 56 divisors (see below), whose sum is σ = 3048000. Its totient is φ = 344448.

The previous prime is 1035061. The next prime is 1035077. The reversal of 1035072 is 2705301.

1035072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1429 + ... + 2027.

2^1035072 is an apocalyptic number.

1035072 is a gapful number since it is divisible by the number (12) 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 1035072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524000).

1035072 is an abundant number, since it is smaller than the sum of its proper divisors (2012928).

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

1035072 is an equidigital number, since it uses as much as digits as its factorization.

1035072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 1035072 is about 1017.3848829229. The cubic root of 1035072 is about 101.1556597247.

The spelling of 1035072 in words is "one million, thirty-five thousand, seventy-two".