816072252 has 48 divisors (see below), whose sum is σ = 1936956672. Its totient is φ = 267379200.

The previous prime is 816072221. The next prime is 816072253. The reversal of 816072252 is 252270618.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816072253) 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, 173443 + ... + 178085.

It is an arithmetic number, because the mean of its divisors is an integer number (40353264).

Almost surely, 2^816072252 is an apocalyptic number.

It is an amenable number.

816072252 is an abundant number, since it is smaller than the sum of its proper divisors (1120884420).

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

816072252 is a wasteful number, since it uses less digits than its factorization.

816072252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4898 (or 4896 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 816072252 is about 28566.9783491359. The cubic root of 816072252 is about 934.4933253387.

The spelling of 816072252 in words is "eight hundred sixteen million, seventy-two thousand, two hundred fifty-two".