72011620 has 48 divisors (see below), whose sum is σ = 162102528. Its totient is φ = 26801280.

The previous prime is 72011603. The next prime is 72011633. The reversal of 72011620 is 2611027.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14905 + ... + 19135.

It is an arithmetic number, because the mean of its divisors is an integer number (3377136).

Almost surely, 2^72011620 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 72011620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81051264).

72011620 is an abundant number, since it is smaller than the sum of its proper divisors (90090908).

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

72011620 is a wasteful number, since it uses less digits than its factorization.

72011620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300 (or 4298 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 72011620 is about 8485.9660616809. The cubic root of 72011620 is about 416.0391435677.

Adding to 72011620 its reverse (2611027), we get a palindrome (74622647).

The spelling of 72011620 in words is "seventy-two million, eleven thousand, six hundred twenty".