72210825 has 24 divisors (see below), whose sum is σ = 132655200. Its totient is φ = 38512080.

The previous prime is 72210821. The next prime is 72210839. The reversal of 72210825 is 52801227.

It is not a de Polignac number, because 72210825 - 2² = 72210821 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (72210821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52815 + ... + 54164.

It is an arithmetic number, because the mean of its divisors is an integer number (5527300).

Almost surely, 2^72210825 is an apocalyptic number.

72210825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72210825 is a deficient number, since it is larger than the sum of its proper divisors (60444375).

72210825 is a wasteful number, since it uses less digits than its factorization.

72210825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106998 (or 106987 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 72210825 is about 8497.6952757792. The cubic root of 72210825 is about 416.4224186287.

The spelling of 72210825 in words is "seventy-two million, two hundred ten thousand, eight hundred twenty-five".