72130772 has 48 divisors (see below), whose sum is σ = 150299520. Its totient is φ = 29635200.

The previous prime is 72130771. The next prime is 72130777. The reversal of 72130772 is 27703127.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72130771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171122 + ... + 171542.

It is an arithmetic number, because the mean of its divisors is an integer number (3131240).

Almost surely, 2^72130772 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 72130772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75149760).

72130772 is an abundant number, since it is smaller than the sum of its proper divisors (78168748).

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

72130772 is a wasteful number, since it uses less digits than its factorization.

72130772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 29.

The square root of 72130772 is about 8492.9836924370. The cubic root of 72130772 is about 416.2684796120.

Adding to 72130772 its reverse (27703127), we get a palindrome (99833899).

The spelling of 72130772 in words is "seventy-two million, one hundred thirty thousand, seven hundred seventy-two".