1072038 has 32 divisors (see below), whose sum is σ = 2407680. Its totient is φ = 315360.

The previous prime is 1072009. The next prime is 1072039. The reversal of 1072038 is 8302701.

It is a super-2 number, since 2×1072038² = 2298530946888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2223 + ... + 2661.

It is an arithmetic number, because the mean of its divisors is an integer number (75240).

2^1072038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203840).

1072038 is an abundant number, since it is smaller than the sum of its proper divisors (1335642).

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

1072038 is a wasteful number, since it uses less digits than its factorization.

1072038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1072038 is about 1035.3926791319. The cubic root of 1072038 is about 102.3458082196.

Adding to 1072038 its reverse (8302701), we get a palindrome (9374739).

It can be divided in two parts, 107 and 2038, that added together give a triangular number (2145 = T₆₅).

The spelling of 1072038 in words is "one million, seventy-two thousand, thirty-eight".