72353280 has 80 divisors (see below), whose sum is σ = 231328944. Its totient is φ = 19292160.

The previous prime is 72353279. The next prime is 72353291. The reversal of 72353280 is 8235327.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2970 + ... + 12390.

Almost surely, 2^72353280 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 72353280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115664472).

72353280 is an abundant number, since it is smaller than the sum of its proper divisors (158975664).

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

72353280 is an equidigital number, since it uses as much as digits as its factorization.

72353280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9447 (or 9431 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 72353280 is about 8506.0731245387. The cubic root of 72353280 is about 416.6960733023.

The spelling of 72353280 in words is "seventy-two million, three hundred fifty-three thousand, two hundred eighty".