1072189440 has 416 divisors, whose sum is σ = 4372028160. Its totient is φ = 244187136.

The previous prime is 1072189429. The next prime is 1072189451. The reversal of 1072189440 is 449812701.

It is an interprime number because it is at equal distance from previous prime (1072189429) and next prime (1072189451).

It is a super-2 number, since 2×1072189440² = 2299180390495027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1072189395 and 1072189404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3870582 + ... + 3870858.

Almost surely, 2^1072189440 is an apocalyptic number.

1072189440 is a gapful number since it is divisible by the number (10) 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 1072189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186014080).

1072189440 is an abundant number, since it is smaller than the sum of its proper divisors (3299838720).

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

1072189440 is an equidigital number, since it uses as much as digits as its factorization.

1072189440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1072189440 is about 32744.3039321345. The cubic root of 1072189440 is about 1023.5062724013.

The spelling of 1072189440 in words is "one billion, seventy-two million, one hundred eighty-nine thousand, four hundred forty".