72254896 has 80 divisors (see below), whose sum is σ = 171256896. Its totient is φ = 28827648.

The previous prime is 72254887. The next prime is 72254909. The reversal of 72254896 is 69845227.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260710 + ... + 260986.

Almost surely, 2^72254896 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 72254896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85628448).

72254896 is an abundant number, since it is smaller than the sum of its proper divisors (99002000).

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

72254896 is a wasteful number, since it uses less digits than its factorization.

72254896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 72254896 is about 8500.2879951211. The cubic root of 72254896 is about 416.5071170110.

It can be divided in two parts, 7225 and 4896, that added together give a palindrome (12121).

The spelling of 72254896 in words is "seventy-two million, two hundred fifty-four thousand, eight hundred ninety-six".