72589320 has 192 divisors, whose sum is σ = 259038000. Its totient is φ = 17547264.

The previous prime is 72589267. The next prime is 72589331. The reversal of 72589320 is 2398527.

It is a happy number.

72589320 is a `hidden beast` number, since 72 + 589 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 58706244 + 13883076 = 7662^2 + 3726^2 .

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 47 ways as a sum of consecutive naturals, for example, 177276 + ... + 177684.

Almost surely, 2^72589320 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 72589320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129519000).

72589320 is an abundant number, since it is smaller than the sum of its proper divisors (186448680).

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

72589320 is a wasteful number, since it uses less digits than its factorization.

72589320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 72589320 is about 8519.9366194826. The cubic root of 72589320 is about 417.1487142750.

The spelling of 72589320 in words is "seventy-two million, five hundred eighty-nine thousand, three hundred twenty".