72838451 has 16 divisors (see below), whose sum is σ = 86136000. Its totient is φ = 61556544.

The previous prime is 72838439. The next prime is 72838463. The reversal of 72838451 is 15483827.

It is an interprime number because it is at equal distance from previous prime (72838439) and next prime (72838463).

It is a de Polignac number, because none of the positive numbers 2^k-72838451 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72838471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23585 + ... + 26493.

It is an arithmetic number, because the mean of its divisors is an integer number (5383500).

Almost surely, 2^72838451 is an apocalyptic number.

72838451 is a deficient number, since it is larger than the sum of its proper divisors (13297549).

72838451 is an equidigital number, since it uses as much as digits as its factorization.

72838451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2989 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 72838451 is about 8534.5445689855. The cubic root of 72838451 is about 417.6253960171.

The spelling of 72838451 in words is "seventy-two million, eight hundred thirty-eight thousand, four hundred fifty-one".