72588096 has 224 divisors, whose sum is σ = 258958080. Its totient is φ = 19464192.

The previous prime is 72588091. The next prime is 72588097. The reversal of 72588096 is 69088527.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72588091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205456 + ... + 205808.

Almost surely, 2^72588096 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 72588096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129479040).

72588096 is an abundant number, since it is smaller than the sum of its proper divisors (186369984).

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

72588096 is a wasteful number, since it uses less digits than its factorization.

72588096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 72588096 is about 8519.8647876595. The cubic root of 72588096 is about 417.1463696100.

The spelling of 72588096 in words is "seventy-two million, five hundred eighty-eight thousand, ninety-six".