72005652 has 48 divisors (see below), whose sum is σ = 188522880. Its totient is φ = 23765184.

The previous prime is 72005603. The next prime is 72005683. The reversal of 72005652 is 25650027.

72005652 is a `hidden beast` number, since 7 + 2 + 0 + 0 + 5 + 652 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7888 + ... + 14360.

It is an arithmetic number, because the mean of its divisors is an integer number (3927560).

Almost surely, 2^72005652 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 72005652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94261440).

72005652 is an abundant number, since it is smaller than the sum of its proper divisors (116517228).

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

72005652 is a wasteful number, since it uses less digits than its factorization.

72005652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6589 (or 6581 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 72005652 is about 8485.6144149967. The cubic root of 72005652 is about 416.0276500976.

Adding to 72005652 its reverse (25650027), we get a palindrome (97655679).

The spelling of 72005652 in words is "seventy-two million, five thousand, six hundred fifty-two".