72011830 has 64 divisors (see below), whose sum is σ = 151647552. Its totient is φ = 24330240.

The previous prime is 72011809. The next prime is 72011833. The reversal of 72011830 is 3811027.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72011833) by changing a digit.

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, 181192 + ... + 181588.

It is an arithmetic number, because the mean of its divisors is an integer number (2369493).

Almost surely, 2^72011830 is an apocalyptic number.

72011830 is an abundant number, since it is smaller than the sum of its proper divisors (79635722).

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

72011830 is a wasteful number, since it uses less digits than its factorization.

72011830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529.

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 72011830 is about 8485.9784350421. The cubic root of 72011830 is about 416.0395479845.

Adding to 72011830 its reverse (3811027), we get a palindrome (75822857).

The spelling of 72011830 in words is "seventy-two million, eleven thousand, eight hundred thirty".