72221136 has 120 divisors (see below), whose sum is σ = 209674080. Its totient is φ = 21385728.

The previous prime is 72221119. The next prime is 72221141. The reversal of 72221136 is 63112227.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235095 + ... + 235401.

It is an arithmetic number, because the mean of its divisors is an integer number (1747284).

Almost surely, 2^72221136 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 72221136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104837040).

72221136 is an abundant number, since it is smaller than the sum of its proper divisors (137452944).

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

72221136 is a wasteful number, since it uses less digits than its factorization.

72221136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 354 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 72221136 is about 8498.3019480364. The cubic root of 72221136 is about 416.4422380358.

The spelling of 72221136 in words is "seventy-two million, two hundred twenty-one thousand, one hundred thirty-six".