72442032 has 80 divisors (see below), whose sum is σ = 213423840. Its totient is φ = 20975616.

The previous prime is 72442031. The next prime is 72442037. The reversal of 72442032 is 23024427.

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

It is a junction number, because it is equal to n+sod(n) for n = 72441993 and 72442011.

It is not an unprimeable number, because it can be changed into a prime (72442031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7194 + ... + 14022.

It is an arithmetic number, because the mean of its divisors is an integer number (2667798).

Almost surely, 2^72442032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72442032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106711920).

72442032 is an abundant number, since it is smaller than the sum of its proper divisors (140981808).

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

72442032 is a wasteful number, since it uses less digits than its factorization.

72442032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6870 (or 6864 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 72442032 is about 8511.2885040985. The cubic root of 72442032 is about 416.8663834742.

Adding to 72442032 its reverse (23024427), we get a palindrome (95466459).

The spelling of 72442032 in words is "seventy-two million, four hundred forty-two thousand, thirty-two".