72109730 has 64 divisors (see below), whose sum is σ = 164229120. Its totient is φ = 22142400.

The previous prime is 72109727. The next prime is 72109759. The reversal of 72109730 is 3790127.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72109693 and 72109702.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 54011 + ... + 55329.

It is an arithmetic number, because the mean of its divisors is an integer number (2566080).

Almost surely, 2^72109730 is an apocalyptic number.

72109730 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72109730 is an abundant number, since it is smaller than the sum of its proper divisors (92119390).

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

72109730 is a wasteful number, since it uses less digits than its factorization.

72109730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415.

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 72109730 is about 8491.7448148187. The cubic root of 72109730 is about 416.2279977068.

Adding to 72109730 its reverse (3790127), we get a palindrome (75899857).

It can be divided in two parts, 721097 and 30, that added together give a palindrome (721127).

The spelling of 72109730 in words is "seventy-two million, one hundred nine thousand, seven hundred thirty".