72533448 has 96 divisors (see below), whose sum is σ = 218282400. Its totient is φ = 22306752.

The previous prime is 72533423. The next prime is 72533471. The reversal of 72533448 is 84433527.

It is a happy number.

It is a super-2 number, since 2×72533448² = 10522202157537408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 35511 + ... + 37497.

It is an arithmetic number, because the mean of its divisors is an integer number (2273775).

Almost surely, 2^72533448 is an apocalyptic number.

72533448 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72533448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109141200).

72533448 is an abundant number, since it is smaller than the sum of its proper divisors (145748952).

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

72533448 is a wasteful number, since it uses less digits than its factorization.

72533448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2005 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 72533448 is about 8516.6570906665. The cubic root of 72533448 is about 417.0416603479.

It can be divided in two parts, 7253 and 3448, that added together give a palindrome (10701).

The spelling of 72533448 in words is "seventy-two million, five hundred thirty-three thousand, four hundred forty-eight".