820072526 has 32 divisors (see below), whose sum is σ = 1544894400. Its totient is φ = 324420768.

The previous prime is 820072511. The next prime is 820072531. The reversal of 820072526 is 625270028.

It is a junction number, because it is equal to n+sod(n) for n = 820072492 and 820072501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37061 + ... + 54896.

It is an arithmetic number, because the mean of its divisors is an integer number (48277950).

Almost surely, 2^820072526 is an apocalyptic number.

820072526 is a deficient number, since it is larger than the sum of its proper divisors (724821874).

820072526 is a wasteful number, since it uses less digits than its factorization.

820072526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91993 (or 91979 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 820072526 is about 28636.9084574435. The cubic root of 820072526 is about 936.0177564691.

The spelling of 820072526 in words is "eight hundred twenty million, seventy-two thousand, five hundred twenty-six".