72852906 has 24 divisors (see below), whose sum is σ = 169495200. Its totient is φ = 20815032.

The previous prime is 72852893. The next prime is 72852907. The reversal of 72852906 is 60925827.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72852907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123606 + ... + 124193.

It is an arithmetic number, because the mean of its divisors is an integer number (7062300).

Almost surely, 2^72852906 is an apocalyptic number.

72852906 is an abundant number, since it is smaller than the sum of its proper divisors (96642294).

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

72852906 is a wasteful number, since it uses less digits than its factorization.

72852906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247818 (or 247811 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 72852906 is about 8535.3913794272. The cubic root of 72852906 is about 417.6530205099.

The spelling of 72852906 in words is "seventy-two million, eight hundred fifty-two thousand, nine hundred six".