72838821 has 8 divisors (see below), whose sum is σ = 105947424. Its totient is φ = 44144720.

The previous prime is 72838817. The next prime is 72838841. The reversal of 72838821 is 12883827.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72838821 - 2² = 72838817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72838821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72838841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1103586 + ... + 1103651.

It is an arithmetic number, because the mean of its divisors is an integer number (13243428).

Almost surely, 2^72838821 is an apocalyptic number.

It is an amenable number.

72838821 is a deficient number, since it is larger than the sum of its proper divisors (33108603).

72838821 is a wasteful number, since it uses less digits than its factorization.

72838821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207251.

The product of its digits is 43008, while the sum is 39.

The square root of 72838821 is about 8534.5662455687. The cubic root of 72838821 is about 417.6261031580.

The spelling of 72838821 in words is "seventy-two million, eight hundred thirty-eight thousand, eight hundred twenty-one".