1072032 has 48 divisors (see below), whose sum is σ = 3034080. Its totient is φ = 329472.

The previous prime is 1072009. The next prime is 1072039. The reversal of 1072032 is 2302701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1072032² = 2298505218048, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 819 + ... + 1677.

It is an arithmetic number, because the mean of its divisors is an integer number (63210).

2^1072032 is an apocalyptic number.

1072032 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 1072032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517040).

1072032 is an abundant number, since it is smaller than the sum of its proper divisors (1962048).

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

1072032 is a wasteful number, since it uses less digits than its factorization.

1072032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 1072032 is about 1035.3897816764. The cubic root of 1072032 is about 102.3456172823.

Adding to 1072032 its reverse (2302701), we get a palindrome (3374733).

The spelling of 1072032 in words is "one million, seventy-two thousand, thirty-two".