72209940 has 96 divisors (see below), whose sum is σ = 226606464. Its totient is φ = 17026560.

The previous prime is 72209927. The next prime is 72209953. The reversal of 72209940 is 4990227.

It is an interprime number because it is at equal distance from previous prime (72209927) and next prime (72209953).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22942 + ... + 25898.

It is an arithmetic number, because the mean of its divisors is an integer number (2360484).

Almost surely, 2^72209940 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 72209940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113303232).

72209940 is an abundant number, since it is smaller than the sum of its proper divisors (154396524).

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

72209940 is a wasteful number, since it uses less digits than its factorization.

72209940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 72209940 is about 8497.6432026768. The cubic root of 72209940 is about 416.4207174279.

It can be divided in two parts, 72 and 209940, that added together give a palindrome (210012).

The spelling of 72209940 in words is "seventy-two million, two hundred nine thousand, nine hundred forty".