72411072 has 56 divisors (see below), whose sum is σ = 196784976. Its totient is φ = 23482368.

The previous prime is 72411047. The next prime is 72411089. The reversal of 72411072 is 27011427.

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

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 7 ways as a sum of consecutive naturals, for example, 2008 + ... + 12200.

Almost surely, 2^72411072 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 72411072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98392488).

72411072 is an abundant number, since it is smaller than the sum of its proper divisors (124373904).

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

72411072 is a wasteful number, since it uses less digits than its factorization.

72411072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10245 (or 10235 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 72411072 is about 8509.4695486852. The cubic root of 72411072 is about 416.8069887558.

Adding to 72411072 its reverse (27011427), we get a palindrome (99422499).

The spelling of 72411072 in words is "seventy-two million, four hundred eleven thousand, seventy-two".