72838925 has 12 divisors (see below), whose sum is σ = 90824916. Its totient is φ = 57945600.

The previous prime is 72838901. The next prime is 72838937. The reversal of 72838925 is 52983827.

It can be written as a sum of positive squares in 6 ways, for example, as 13410244 + 59428681 = 3662^2 + 7709^2 .

It is not a de Polignac number, because 72838925 - 2¹⁰ = 72837901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3524 + ... + 12573.

It is an arithmetic number, because the mean of its divisors is an integer number (7568743).

Almost surely, 2^72838925 is an apocalyptic number.

It is an amenable number.

72838925 is a deficient number, since it is larger than the sum of its proper divisors (17985991).

72838925 is a wasteful number, since it uses less digits than its factorization.

72838925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16288 (or 16283 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 72838925 is about 8534.5723384362. The cubic root of 72838925 is about 417.6263019214.

The spelling of 72838925 in words is "seventy-two million, eight hundred thirty-eight thousand, nine hundred twenty-five".