72211338 has 48 divisors (see below), whose sum is σ = 167521536. Its totient is φ = 23289120.

The previous prime is 72211333. The next prime is 72211351. The reversal of 72211338 is 83311227.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72211333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12670 + ... + 17462.

It is an arithmetic number, because the mean of its divisors is an integer number (3490032).

Almost surely, 2^72211338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72211338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83760768).

72211338 is an abundant number, since it is smaller than the sum of its proper divisors (95310198).

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

72211338 is a wasteful number, since it uses less digits than its factorization.

72211338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4841 (or 4829 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 72211338 is about 8497.7254603806. The cubic root of 72211338 is about 416.4234047421.

The spelling of 72211338 in words is "seventy-two million, two hundred eleven thousand, three hundred thirty-eight".