72005824 has 56 divisors (see below), whose sum is σ = 162690048. Its totient is φ = 31299840.

The previous prime is 72005819. The next prime is 72005827. The reversal of 72005824 is 42850027.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72005792 and 72005801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72005827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13969 + ... + 18415.

Almost surely, 2^72005824 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 72005824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81345024).

72005824 is an abundant number, since it is smaller than the sum of its proper divisors (90684224).

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

72005824 is a wasteful number, since it uses less digits than its factorization.

72005824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4493 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 72005824 is about 8485.6245497901. The cubic root of 72005824 is about 416.0279813526.

The spelling of 72005824 in words is "seventy-two million, five thousand, eight hundred twenty-four".