72190825 has 48 divisors (see below), whose sum is σ = 106850304. Its totient is φ = 47361600.

The previous prime is 72190819. The next prime is 72190849. The reversal of 72190825 is 52809127.

It is not a de Polignac number, because 72190825 - 2¹¹ = 72188777 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 551010 + ... + 551140.

It is an arithmetic number, because the mean of its divisors is an integer number (2226048).

Almost surely, 2^72190825 is an apocalyptic number.

It is an amenable number.

72190825 is a deficient number, since it is larger than the sum of its proper divisors (34659479).

72190825 is a wasteful number, since it uses less digits than its factorization.

72190825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 72190825 is about 8496.5184046173. The cubic root of 72190825 is about 416.3839700194.

The spelling of 72190825 in words is "seventy-two million, one hundred ninety thousand, eight hundred twenty-five".