72513150 has 48 divisors (see below), whose sum is σ = 180845568. Its totient is φ = 19228000.

The previous prime is 72513149. The next prime is 72513157. The reversal of 72513150 is 5131527.

It is a self number, because there is not a number n which added to its sum of digits gives 72513150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72513157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27385 + ... + 29915.

It is an arithmetic number, because the mean of its divisors is an integer number (3767616).

Almost surely, 2^72513150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72513150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90422784).

72513150 is an abundant number, since it is smaller than the sum of its proper divisors (108332418).

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

72513150 is a wasteful number, since it uses less digits than its factorization.

72513150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 72513150 is about 8515.4653425400. The cubic root of 72513150 is about 417.0027546126.

Adding to 72513150 its reverse (5131527), we get a palindrome (77644677).

It can be divided in two parts, 7251 and 3150, that added together give a palindrome (10401).

The spelling of 72513150 in words is "seventy-two million, five hundred thirteen thousand, one hundred fifty".