72352072 has 32 divisors (see below), whose sum is σ = 146475000. Its totient is φ = 33306624.

The previous prime is 72352067. The next prime is 72352073. The reversal of 72352072 is 27025327.

It can be written as a sum of positive squares in 4 ways, for example, as 29658916 + 42693156 = 5446^2 + 6534^2 .

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 72352072.

It is not an unprimeable number, because it can be changed into a prime (72352073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57304 + ... + 58552.

Almost surely, 2^72352072 is an apocalyptic number.

It is an amenable number.

72352072 is an abundant number, since it is smaller than the sum of its proper divisors (74122928).

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

72352072 is a wasteful number, since it uses less digits than its factorization.

72352072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 72352072 is about 8506.0021161530. The cubic root of 72352072 is about 416.6937542568.

Adding to 72352072 its reverse (27025327), we get a palindrome (99377399).

The spelling of 72352072 in words is "seventy-two million, three hundred fifty-two thousand, seventy-two".