72588040 has 64 divisors (see below), whose sum is σ = 191237760. Its totient is φ = 24276480.

The previous prime is 72588031. The next prime is 72588049. The reversal of 72588040 is 4088527.

It is an interprime number because it is at equal distance from previous prime (72588031) and next prime (72588049).

It is a junction number, because it is equal to n+sod(n) for n = 72587987 and 72588005.

It is not an unprimeable number, because it can be changed into a prime (72588049) 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 15 ways as a sum of consecutive naturals, for example, 8319 + ... + 14641.

It is an arithmetic number, because the mean of its divisors is an integer number (2988090).

Almost surely, 2^72588040 is an apocalyptic number.

72588040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72588040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95618880).

72588040 is an abundant number, since it is smaller than the sum of its proper divisors (118649720).

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

72588040 is a wasteful number, since it uses less digits than its factorization.

72588040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6382 (or 6378 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 72588040 is about 8519.8615012217. The cubic root of 72588040 is about 417.1462623372.

The spelling of 72588040 in words is "seventy-two million, five hundred eighty-eight thousand, forty".