72205254 has 48 divisors (see below), whose sum is σ = 174320640. Its totient is φ = 21412080.

The previous prime is 72205253. The next prime is 72205261. The reversal of 72205254 is 45250227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72205253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5427 + ... + 13185.

It is an arithmetic number, because the mean of its divisors is an integer number (3631680).

Almost surely, 2^72205254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72205254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87160320).

72205254 is an abundant number, since it is smaller than the sum of its proper divisors (102115386).

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

72205254 is a wasteful number, since it uses less digits than its factorization.

72205254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7825 (or 7822 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 72205254 is about 8497.3674746947. The cubic root of 72205254 is about 416.4117094820.

The spelling of 72205254 in words is "seventy-two million, two hundred five thousand, two hundred fifty-four".