1072071936 has 360 divisors, whose sum is σ = 3562949544. Its totient is φ = 318504960.

The previous prime is 1072071857. The next prime is 1072072009. The reversal of 1072071936 is 6391702701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12960000 + 1059111936 = 3600^2 + 32544^2 .

It is a super-2 number, since 2×1072071936² = 2298676471917576192, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1072071936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11052240 + ... + 11052336.

Almost surely, 2^1072071936 is an apocalyptic number.

1072071936 is a gapful number since it is divisible by the number (16) 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 1072071936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781474772).

1072071936 is an abundant number, since it is smaller than the sum of its proper divisors (2490877608).

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

1072071936 is an equidigital number, since it uses as much as digits as its factorization.

1072071936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 1072071936 is about 32742.5096167047. The cubic root of 1072071936 is about 1023.4688814732.

The spelling of 1072071936 in words is "one billion, seventy-two million, seventy-one thousand, nine hundred thirty-six".