72872838 has 64 divisors (see below), whose sum is σ = 166924800. Its totient is φ = 23556960.

The previous prime is 72872837. The next prime is 72872843. The reversal of 72872838 is 83827827.

It is a junction number, because it is equal to n+sod(n) for n = 72872793 and 72872802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72872837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318108 + ... + 318336.

It is an arithmetic number, because the mean of its divisors is an integer number (2608200).

Almost surely, 2^72872838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72872838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83462400).

72872838 is an abundant number, since it is smaller than the sum of its proper divisors (94051962).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72872838 is a wasteful number, since it uses less digits than its factorization.

72872838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 72872838 is about 8536.5589086001. The cubic root of 72872838 is about 417.6911059316.

The spelling of 72872838 in words is "seventy-two million, eight hundred seventy-two thousand, eight hundred thirty-eight".