72130770 has 64 divisors (see below), whose sum is σ = 193098240. Its totient is φ = 19160064.

The previous prime is 72130753. The next prime is 72130771. The reversal of 72130770 is 7703127.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 124722 + ... + 125298.

It is an arithmetic number, because the mean of its divisors is an integer number (3017160).

Almost surely, 2^72130770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72130770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96549120).

72130770 is an abundant number, since it is smaller than the sum of its proper divisors (120967470).

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

72130770 is a wasteful number, since it uses less digits than its factorization.

72130770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 72130770 is about 8492.9835746927. The cubic root of 72130770 is about 416.2684757646.

Adding to 72130770 its reverse (7703127), we get a palindrome (79833897).

It can be divided in two parts, 72130 and 770, that added together give a square (72900 = 270²).

The spelling of 72130770 in words is "seventy-two million, one hundred thirty thousand, seven hundred seventy".