72587382 has 32 divisors (see below), whose sum is σ = 175675392. Its totient is φ = 19519104.

The previous prime is 72587381. The next prime is 72587423. The reversal of 72587382 is 28378527.

It is a super-2 number, since 2×72587382² = 10537856051227848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72587381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50118 + ... + 51545.

It is an arithmetic number, because the mean of its divisors is an integer number (5489856).

Almost surely, 2^72587382 is an apocalyptic number.

72587382 is an abundant number, since it is smaller than the sum of its proper divisors (103088010).

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

72587382 is a wasteful number, since it uses less digits than its factorization.

72587382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101692.

The product of its digits is 188160, while the sum is 42.

The square root of 72587382 is about 8519.8228854830. The cubic root of 72587382 is about 417.1450018767.

72587382 divided by its sum of digits (42) gives a palindrome (1728271).

The spelling of 72587382 in words is "seventy-two million, five hundred eighty-seven thousand, three hundred eighty-two".