527166972 has 72 divisors (see below), whose sum is σ = 1378165152. Its totient is φ = 169776000.

The previous prime is 527166961. The next prime is 527166973. The reversal of 527166972 is 279661725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527166973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199822 + ... + 202442.

Almost surely, 2^527166972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527166972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689082576).

527166972 is an abundant number, since it is smaller than the sum of its proper divisors (850998180).

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

527166972 is a wasteful number, since it uses less digits than its factorization.

527166972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2814 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 527166972 is about 22960.1169857647. The cubic root of 527166972 is about 807.8227215392.

The spelling of 527166972 in words is "five hundred twenty-seven million, one hundred sixty-six thousand, nine hundred seventy-two".