1072837136 has 80 divisors (see below), whose sum is σ = 2476448640. Its totient is φ = 440509440.

The previous prime is 1072837123. The next prime is 1072837267. The reversal of 1072837136 is 6317382701.

1072837136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1072837136.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443771 + ... + 446181.

It is an arithmetic number, because the mean of its divisors is an integer number (30955608).

Almost surely, 2^1072837136 is an apocalyptic number.

1072837136 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 1072837136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238224320).

1072837136 is an abundant number, since it is smaller than the sum of its proper divisors (1403611504).

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

1072837136 is a wasteful number, since it uses less digits than its factorization.

1072837136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 1072837136 is about 32754.1926476596. The cubic root of 1072837136 is about 1023.7123266212.

The spelling of 1072837136 in words is "one billion, seventy-two million, eight hundred thirty-seven thousand, one hundred thirty-six".