72209880 has 384 divisors, whose sum is σ = 283046400. Its totient is φ = 16422912.

The previous prime is 72209873. The next prime is 72209927. The reversal of 72209880 is 8890227.

It is a super-2 number, since 2×72209880² = 10428533539228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3139549 + ... + 3139571.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^72209880 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 72209880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

72209880 is an abundant number, since it is smaller than the sum of its proper divisors (210836520).

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

72209880 is a wasteful number, since it uses less digits than its factorization.

72209880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 72209880 is about 8497.6396722855. The cubic root of 72209880 is about 416.4206020917.

The spelling of 72209880 in words is "seventy-two million, two hundred nine thousand, eight hundred eighty".