72507072 has 84 divisors (see below), whose sum is σ = 210934808. Its totient is φ = 21964800.

The previous prime is 72507011. The next prime is 72507077. The reversal of 72507072 is 27070527.

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

It is not an unprimeable number, because it can be changed into a prime (72507077) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21672 + ... + 24792.

Almost surely, 2^72507072 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 72507072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105467404).

72507072 is an abundant number, since it is smaller than the sum of its proper divisors (138427736).

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

72507072 is a wasteful number, since it uses less digits than its factorization.

72507072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 30.

The square root of 72507072 is about 8515.1084549758. The cubic root of 72507072 is about 416.9911033303.

Adding to 72507072 its reverse (27070527), we get a palindrome (99577599).

The spelling of 72507072 in words is "seventy-two million, five hundred seven thousand, seventy-two".