815727552 has 84 divisors (see below), whose sum is σ = 2230651368. Its totient is φ = 263078400.

The previous prime is 815727491. The next prime is 815727559. The reversal of 815727552 is 255727518.

It is a super-3 number, since 3×815727552³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815727559) 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, 182302 + ... + 186722.

Almost surely, 2^815727552 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 815727552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115325684).

815727552 is an abundant number, since it is smaller than the sum of its proper divisors (1414923816).

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

815727552 is a wasteful number, since it uses less digits than its factorization.

815727552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4498 (or 4457 counting only the distinct ones).

The product of its digits is 196000, while the sum is 42.

The square root of 815727552 is about 28560.9445221967. The cubic root of 815727552 is about 934.3617335536.

The spelling of 815727552 in words is "eight hundred fifteen million, seven hundred twenty-seven thousand, five hundred fifty-two".