72005604 has 24 divisors (see below), whose sum is σ = 183287328. Its totient is φ = 21819840.

The previous prime is 72005603. The next prime is 72005683. The reversal of 72005604 is 40650027.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72005603) 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, 272617 + ... + 272880.

It is an arithmetic number, because the mean of its divisors is an integer number (7636972).

Almost surely, 2^72005604 is an apocalyptic number.

It is an amenable number.

72005604 is an abundant number, since it is smaller than the sum of its proper divisors (111281724).

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

72005604 is a wasteful number, since it uses less digits than its factorization.

72005604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545515 (or 545513 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 72005604 is about 8485.6115866801. The cubic root of 72005604 is about 416.0275576542.

The spelling of 72005604 in words is "seventy-two million, five thousand, six hundred four".