72505072 has 20 divisors (see below), whose sum is σ = 141872616. Its totient is φ = 35892800.

The previous prime is 72505061. The next prime is 72505073. The reversal of 72505072 is 27050527.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 72505072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72505073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20818 + ... + 24049.

Almost surely, 2^72505072 is an apocalyptic number.

It is an amenable number.

72505072 is a deficient number, since it is larger than the sum of its proper divisors (69367544).

72505072 is a wasteful number, since it uses less digits than its factorization.

72505072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44976 (or 44970 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 28.

The square root of 72505072 is about 8514.9910158496. The cubic root of 72505072 is about 416.9872692680.

Adding to 72505072 its reverse (27050527), we get a palindrome (99555599).

The spelling of 72505072 in words is "seventy-two million, five hundred five thousand, seventy-two".