72241632 has 120 divisors (see below), whose sum is σ = 217346976. Its totient is φ = 23528448.

The previous prime is 72241627. The next prime is 72241657. The reversal of 72241632 is 23614227.

72241632 is a `hidden beast` number, since 7 + 2 + 24 + 1 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 72241596 and 72241605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 121528 + ... + 122120.

Almost surely, 2^72241632 is an apocalyptic number.

72241632 is a gapful number since it is divisible by the number (72) 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 72241632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108673488).

72241632 is an abundant number, since it is smaller than the sum of its proper divisors (145105344).

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

72241632 is a wasteful number, since it uses less digits than its factorization.

72241632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 645 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 72241632 is about 8499.5077504524. The cubic root of 72241632 is about 416.4816290565.

Adding to 72241632 its reverse (23614227), we get a palindrome (95855859).

The spelling of 72241632 in words is "seventy-two million, two hundred forty-one thousand, six hundred thirty-two".