1072192 has 28 divisors (see below), whose sum is σ = 2322576. Its totient is φ = 487040.

The previous prime is 1072187. The next prime is 1072199. The reversal of 1072192 is 2912701.

1072192 = 164² + 165² + ... + 196².

It is a super-2 number, since 2×1072192² = 2299191369728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1072199) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58 + ... + 1465.

2^1072192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161288).

1072192 is an abundant number, since it is smaller than the sum of its proper divisors (1250384).

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

1072192 is a wasteful number, since it uses less digits than its factorization.

1072192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 1072192 is about 1035.4670443814. The cubic root of 1072192 is about 102.3507086988.

Adding to 1072192 its reverse (2912701), we get a palindrome (3984893).

The spelling of 1072192 in words is "one million, seventy-two thousand, one hundred ninety-two".