72738224 has 40 divisors (see below), whose sum is σ = 152854800. Its totient is φ = 33331968.

The previous prime is 72738221. The next prime is 72738227. The reversal of 72738224 is 42283727.

It is an interprime number because it is at equal distance from previous prime (72738221) and next prime (72738227).

It is not an unprimeable number, because it can be changed into a prime (72738221) 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 7 ways as a sum of consecutive naturals, for example, 29819 + ... + 32165.

It is an arithmetic number, because the mean of its divisors is an integer number (3821370).

Almost surely, 2^72738224 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 72738224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76427400).

72738224 is an abundant number, since it is smaller than the sum of its proper divisors (80116576).

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

72738224 is a wasteful number, since it uses less digits than its factorization.

72738224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2511 counting only the distinct ones).

The product of its digits is 37632, while the sum is 35.

The square root of 72738224 is about 8528.6707053327. The cubic root of 72738224 is about 417.4337547731.

The spelling of 72738224 in words is "seventy-two million, seven hundred thirty-eight thousand, two hundred twenty-four".