825132672 has 384 divisors, whose sum is σ = 3100930560. Its totient is φ = 204374016.

The previous prime is 825132661. The next prime is 825132761. The reversal of 825132672 is 276231528.

825132672 is a `hidden beast` number, since 82 + 513 + 2 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1781913 + ... + 1782375.

It is an arithmetic number, because the mean of its divisors is an integer number (8075340).

Almost surely, 2^825132672 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 825132672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550465280).

825132672 is an abundant number, since it is smaller than the sum of its proper divisors (2275797888).

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

825132672 is a wasteful number, since it uses less digits than its factorization.

825132672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 505 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 825132672 is about 28725.1226629235. The cubic root of 825132672 is about 937.9390003718.

The spelling of 825132672 in words is "eight hundred twenty-five million, one hundred thirty-two thousand, six hundred seventy-two".