1072689156 has 480 divisors, whose sum is σ = 3850936320. Its totient is φ = 251942400.

The previous prime is 1072689139. The next prime is 1072689169. The reversal of 1072689156 is 6519862701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14694336 + ... + 14694408.

It is an arithmetic number, because the mean of its divisors is an integer number (8022784).

Almost surely, 2^1072689156 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 1072689156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925468160).

1072689156 is an abundant number, since it is smaller than the sum of its proper divisors (2778247164).

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

1072689156 is a wasteful number, since it uses less digits than its factorization.

1072689156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1072689156 is about 32751.9336223069. The cubic root of 1072689156 is about 1023.6652564398.

The spelling of 1072689156 in words is "one billion, seventy-two million, six hundred eighty-nine thousand, one hundred fifty-six".