72093582 has 96 divisors (see below), whose sum is σ = 178274304. Its totient is φ = 20865600.

The previous prime is 72093577. The next prime is 72093587. The reversal of 72093582 is 28539027.

It is a happy number.

72093582 is a `hidden beast` number, since 72 + 0 + 9 + 3 + 582 = 666.

It is an interprime number because it is at equal distance from previous prime (72093577) and next prime (72093587).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72093587) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 567603 + ... + 567729.

It is an arithmetic number, because the mean of its divisors is an integer number (1857024).

Almost surely, 2^72093582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72093582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89137152).

72093582 is an abundant number, since it is smaller than the sum of its proper divisors (106180722).

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

72093582 is a wasteful number, since it uses less digits than its factorization.

72093582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 251 counting only the distinct ones).

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

The square root of 72093582 is about 8490.7939558088. The cubic root of 72093582 is about 416.1969258413.

The spelling of 72093582 in words is "seventy-two million, ninety-three thousand, five hundred eighty-two".