72111830 has 48 divisors (see below), whose sum is σ = 151782336. Its totient is φ = 24595200.

The previous prime is 72111803. The next prime is 72111839. The reversal of 72111830 is 3811127.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72111796 and 72111805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72111839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179630 + ... + 180030.

It is an arithmetic number, because the mean of its divisors is an integer number (3162132).

Almost surely, 2^72111830 is an apocalyptic number.

72111830 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72111830 is an abundant number, since it is smaller than the sum of its proper divisors (79670506).

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

72111830 is a wasteful number, since it uses less digits than its factorization.

72111830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 72111830 is about 8491.8684634184. The cubic root of 72111830 is about 416.2320381708.

Adding to 72111830 its reverse (3811127), we get a palindrome (75922957).

The spelling of 72111830 in words is "seventy-two million, one hundred eleven thousand, eight hundred thirty".