72048825 has 24 divisors (see below), whose sum is σ = 132357600. Its totient is φ = 38425680.

The previous prime is 72048803. The next prime is 72048827. The reversal of 72048825 is 52884027.

It is a happy number.

It is not a de Polignac number, because 72048825 - 2⁶ = 72048761 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72048825.

It is not an unprimeable number, because it can be changed into a prime (72048827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52695 + ... + 54044.

It is an arithmetic number, because the mean of its divisors is an integer number (5514900).

Almost surely, 2^72048825 is an apocalyptic number.

72048825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72048825 is a deficient number, since it is larger than the sum of its proper divisors (60308775).

72048825 is a wasteful number, since it uses less digits than its factorization.

72048825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106758 (or 106747 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 72048825 is about 8488.1579273715. The cubic root of 72048825 is about 416.1107804849.

The spelling of 72048825 in words is "seventy-two million, forty-eight thousand, eight hundred twenty-five".