72005248 has 32 divisors (see below), whose sum is σ = 163942560. Its totient is φ = 30859008.

The previous prime is 72005237. The next prime is 72005279. The reversal of 72005248 is 84250027.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39286 + ... + 41077.

It is an arithmetic number, because the mean of its divisors is an integer number (5123205).

Almost surely, 2^72005248 is an apocalyptic number.

It is an amenable number.

72005248 is an abundant number, since it is smaller than the sum of its proper divisors (91937312).

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

72005248 is an equidigital number, since it uses as much as digits as its factorization.

72005248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80384 (or 80372 counting only the distinct ones).

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

The square root of 72005248 is about 8485.5906099693. The cubic root of 72005248 is about 416.0268720314.

The spelling of 72005248 in words is "seventy-two million, five thousand, two hundred forty-eight".