1632687072 has 96 divisors (see below), whose sum is σ = 4547031552. Its totient is φ = 511186944.

The previous prime is 1632687053. The next prime is 1632687079. The reversal of 1632687072 is 2707862361.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1632687079) 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 15 ways as a sum of consecutive naturals, for example, 1479673 + ... + 1480775.

It is an arithmetic number, because the mean of its divisors is an integer number (47364912).

Almost surely, 2^1632687072 is an apocalyptic number.

1632687072 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 1632687072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273515776).

1632687072 is an abundant number, since it is smaller than the sum of its proper divisors (2914344480).

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

1632687072 is a wasteful number, since it uses less digits than its factorization.

1632687072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 1632687072 is about 40406.5226417716. The cubic root of 1632687072 is about 1177.5182620758.

The spelling of 1632687072 in words is "one billion, six hundred thirty-two million, six hundred eighty-seven thousand, seventy-two".