1010072832 has 72 divisors (see below), whose sum is σ = 2829795360. Its totient is φ = 318965760.

The previous prime is 1010072827. The next prime is 1010072839. The reversal of 1010072832 is 2382700101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010072839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20019 + ... + 49202.

Almost surely, 2^1010072832 is an apocalyptic number.

1010072832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010072832 is an abundant number, since it is smaller than the sum of its proper divisors (1819722528).

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

1010072832 is an equidigital number, since it uses as much as digits as its factorization.

1010072832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69259 (or 69245 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1010072832 is about 31781.6430034698. The cubic root of 1010072832 is about 1003.3463997837.

Adding to 1010072832 its reverse (2382700101), we get a palindrome (3392772933).

The spelling of 1010072832 in words is "one billion, ten million, seventy-two thousand, eight hundred thirty-two".