8102970272 has 48 divisors (see below), whose sum is σ = 16673133960. Its totient is φ = 3871408128.

The previous prime is 8102970269. The next prime is 8102970277. The reversal of 8102970272 is 2720792018.

It can be written as a sum of positive squares in 4 ways, for example, as 7850668816 + 252301456 = 88604^2 + 15884^2 .

It is not an unprimeable number, because it can be changed into a prime (8102970277) 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, 45008 + ... + 135024.

Almost surely, 2^8102970272 is an apocalyptic number.

It is a pronic number, being equal to 90016×90017.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8102970272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8336566980).

8102970272 is an abundant number, since it is smaller than the sum of its proper divisors (8570163688).

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

8102970272 is a wasteful number, since it uses less digits than its factorization.

8102970272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90153 (or 90145 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 8102970272 is about 90016.4999986114. The cubic root of 8102970272 is about 2008.5443014747.

The spelling of 8102970272 in words is "eight billion, one hundred two million, nine hundred seventy thousand, two hundred seventy-two".