820125072 has 120 divisors (see below), whose sum is σ = 2494283064. Its totient is φ = 250048512.

The previous prime is 820125071. The next prime is 820125077. The reversal of 820125072 is 270521028.

It can be written as a sum of positive squares in 4 ways, for example, as 53056656 + 767068416 = 7284^2 + 27696^2 .

It is not an unprimeable number, because it can be changed into a prime (820125071) 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, 209598 + ... + 213474.

Almost surely, 2^820125072 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 820125072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247141532).

820125072 is an abundant number, since it is smaller than the sum of its proper divisors (1674157992).

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

820125072 is a wasteful number, since it uses less digits than its factorization.

820125072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 820125072 is about 28637.8258951339. The cubic root of 820125072 is about 936.0377477654.

It can be divided in two parts, 8201250 and 72, that multiplied together give a square (590490000 = 24300²).

The spelling of 820125072 in words is "eight hundred twenty million, one hundred twenty-five thousand, seventy-two".