72253221 has 16 divisors (see below), whose sum is σ = 98500608. Its totient is φ = 47098800.

The previous prime is 72253211. The next prime is 72253231. The reversal of 72253221 is 12235227.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72253211) and next prime (72253231).

It is not a de Polignac number, because 72253221 - 2⁹ = 72252709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72253191 and 72253200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72253211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25716 + ... + 28386.

It is an arithmetic number, because the mean of its divisors is an integer number (6156288).

Almost surely, 2^72253221 is an apocalyptic number.

72253221 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

72253221 is a deficient number, since it is larger than the sum of its proper divisors (26247387).

72253221 is a wasteful number, since it uses less digits than its factorization.

72253221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872.

The product of its digits is 1680, while the sum is 24.

The square root of 72253221 is about 8500.1894684766. The cubic root of 72253221 is about 416.5038985217.

Adding to 72253221 its reverse (12235227), we get a palindrome (84488448).

The spelling of 72253221 in words is "seventy-two million, two hundred fifty-three thousand, two hundred twenty-one".