72569280 has 112 divisors (see below), whose sum is σ = 263347200. Its totient is φ = 16585728.

The previous prime is 72569239. The next prime is 72569293. The reversal of 72569280 is 8296527.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1321 + ... + 12119.

Almost surely, 2^72569280 is an apocalyptic number.

72569280 is a gapful number since it is divisible by the number (70) 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 72569280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131673600).

72569280 is an abundant number, since it is smaller than the sum of its proper divisors (190777920).

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

72569280 is a wasteful number, since it uses less digits than its factorization.

72569280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10826 (or 10816 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 72569280 is about 8518.7604732144. The cubic root of 72569280 is about 417.1103228162.

The spelling of 72569280 in words is "seventy-two million, five hundred sixty-nine thousand, two hundred eighty".