1072693032 has 64 divisors (see below), whose sum is σ = 2882995200. Its totient is φ = 331531200.

The previous prime is 1072693019. The next prime is 1072693033. The reversal of 1072693032 is 2303962701.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1072692984 and 1072693002.

It is not an unprimeable number, because it can be changed into a prime (1072693033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3594 + ... + 46457.

It is an arithmetic number, because the mean of its divisors is an integer number (45046800).

Almost surely, 2^1072693032 is an apocalyptic number.

1072693032 is a gapful number since it is divisible by the number (12) 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 1072693032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441497600).

1072693032 is an abundant number, since it is smaller than the sum of its proper divisors (1810302168).

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

1072693032 is a wasteful number, since it uses less digits than its factorization.

1072693032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50126 (or 50122 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 1072693032 is about 32751.9927943324. The cubic root of 1072693032 is about 1023.6664893915. Note that the first 3 decimals are identical.

The spelling of 1072693032 in words is "one billion, seventy-two million, six hundred ninety-three thousand, thirty-two".