72585660 has 96 divisors (see below), whose sum is σ = 237081600. Its totient is φ = 16586304.

The previous prime is 72585649. The next prime is 72585671. The reversal of 72585660 is 6658527.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72585649) and next prime (72585671).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18817 + ... + 22343.

It is an arithmetic number, because the mean of its divisors is an integer number (2469600).

Almost surely, 2^72585660 is an apocalyptic number.

72585660 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 72585660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118540800).

72585660 is an abundant number, since it is smaller than the sum of its proper divisors (164495940).

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

72585660 is a wasteful number, since it uses less digits than its factorization.

72585660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 72585660 is about 8519.7218264448. The cubic root of 72585660 is about 417.1417031887.

The spelling of 72585660 in words is "seventy-two million, five hundred eighty-five thousand, six hundred sixty".