72683280 has 180 divisors, whose sum is σ = 256864140. Its totient is φ = 18396672.

The previous prime is 72683263. The next prime is 72683293. The reversal of 72683280 is 8238627.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 32080896 + 40602384 = 5664^2 + 6372^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1231891 + ... + 1231949.

It is an arithmetic number, because the mean of its divisors is an integer number (1427023).

Almost surely, 2^72683280 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 72683280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128432070).

72683280 is an abundant number, since it is smaller than the sum of its proper divisors (184180860).

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

72683280 is a wasteful number, since it uses less digits than its factorization.

72683280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 72683280 is about 8525.4489617849. The cubic root of 72683280 is about 417.3286231735.

The spelling of 72683280 in words is "seventy-two million, six hundred eighty-three thousand, two hundred eighty".