72880320 has 112 divisors (see below), whose sum is σ = 234269280. Its totient is φ = 19193856.

The previous prime is 72880319. The next prime is 72880321. The reversal of 72880320 is 2308827.

It is an interprime number because it is at equal distance from previous prime (72880319) and next prime (72880321).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72880321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85014 + ... + 85866.

It is an arithmetic number, because the mean of its divisors is an integer number (2091690).

Almost surely, 2^72880320 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 72880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117134640).

72880320 is an abundant number, since it is smaller than the sum of its proper divisors (161388960).

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

72880320 is a wasteful number, since it uses less digits than its factorization.

72880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 72880320 is about 8536.9971301389. The cubic root of 72880320 is about 417.7054005028.

The spelling of 72880320 in words is "seventy-two million, eight hundred eighty thousand, three hundred twenty".