72424352 has 288 divisors, whose sum is σ = 217183680. Its totient is φ = 23224320.

The previous prime is 72424351. The next prime is 72424357. The reversal of 72424352 is 25342427.

Its product of digits (13440) is a multiple of the sum of its prime factors (84).

It is not an unprimeable number, because it can be changed into a prime (72424351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3811799 + ... + 3811817.

It is an arithmetic number, because the mean of its divisors is an integer number (754110).

Almost surely, 2^72424352 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 72424352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108591840).

72424352 is an abundant number, since it is smaller than the sum of its proper divisors (144759328).

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

72424352 is a wasteful number, since it uses less digits than its factorization.

72424352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 69 counting only the distinct ones).

The product of its digits is 13440, while the sum is 29.

The square root of 72424352 is about 8510.2498200699. The cubic root of 72424352 is about 416.8324676331.

Adding to 72424352 its reverse (25342427), we get a palindrome (97766779).

It can be divided in two parts, 72 and 424352, that added together give a palindrome (424424).

The spelling of 72424352 in words is "seventy-two million, four hundred twenty-four thousand, three hundred fifty-two".