72041832 has 64 divisors (see below), whose sum is σ = 203544000. Its totient is φ = 23602752.

The previous prime is 72041831. The next prime is 72041833. The reversal of 72041832 is 23814027.

It is an interprime number because it is at equal distance from previous prime (72041831) and next prime (72041833).

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

It is a junction number, because it is equal to n+sod(n) for n = 72041796 and 72041805.

It is not an unprimeable number, because it can be changed into a prime (72041831) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9918 + ... + 15570.

It is an arithmetic number, because the mean of its divisors is an integer number (3180375).

Almost surely, 2^72041832 is an apocalyptic number.

72041832 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 72041832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101772000).

72041832 is an abundant number, since it is smaller than the sum of its proper divisors (131502168).

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

72041832 is a wasteful number, since it uses less digits than its factorization.

72041832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5727 (or 5717 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72041832 is about 8487.7459905443. The cubic root of 72041832 is about 416.0973175920.

Adding to 72041832 its reverse (23814027), we get a palindrome (95855859).

The spelling of 72041832 in words is "seventy-two million, forty-one thousand, eight hundred thirty-two".