72880248 has 96 divisors (see below), whose sum is σ = 219358800. Its totient is φ = 20095488.

The previous prime is 72880243. The next prime is 72880253. The reversal of 72880248 is 84208827.

It is an interprime number because it is at equal distance from previous prime (72880243) and next prime (72880253).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72880243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33036 + ... + 35172.

Almost surely, 2^72880248 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 72880248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109679400).

72880248 is an abundant number, since it is smaller than the sum of its proper divisors (146478552).

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

72880248 is a wasteful number, since it uses less digits than its factorization.

72880248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 72880248 is about 8536.9929131984. The cubic root of 72880248 is about 417.7052629494.

The spelling of 72880248 in words is "seventy-two million, eight hundred eighty thousand, two hundred forty-eight".