72838275 has 12 divisors (see below), whose sum is σ = 120426072. Its totient is φ = 38847040.

The previous prime is 72838247. The next prime is 72838277. The reversal of 72838275 is 57283827.

It is not a de Polignac number, because 72838275 - 2⁵ = 72838243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72838277) 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 11 ways as a sum of consecutive naturals, for example, 485514 + ... + 485663.

It is an arithmetic number, because the mean of its divisors is an integer number (10035506).

Almost surely, 2^72838275 is an apocalyptic number.

72838275 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72838275 is a deficient number, since it is larger than the sum of its proper divisors (47587797).

72838275 is a wasteful number, since it uses less digits than its factorization.

72838275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971190 (or 971185 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 72838275 is about 8534.5342579428. The cubic root of 72838275 is about 417.6250596466.

The spelling of 72838275 in words is "seventy-two million, eight hundred thirty-eight thousand, two hundred seventy-five".