71825663 has 32 divisors (see below), whose sum is σ = 96888960. Its totient is φ = 51609600.

The previous prime is 71825657. The next prime is 71825671. The reversal of 71825663 is 36652817.

It is not a de Polignac number, because 71825663 - 2⁴ = 71825647 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71825603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44063 + ... + 45663.

It is an arithmetic number, because the mean of its divisors is an integer number (3027780).

Almost surely, 2^71825663 is an apocalyptic number.

71825663 is a deficient number, since it is larger than the sum of its proper divisors (25063297).

71825663 is a wasteful number, since it uses less digits than its factorization.

71825663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667.

The product of its digits is 60480, while the sum is 38.

The square root of 71825663 is about 8475.0022418876. The cubic root of 71825663 is about 415.6807195579.

Subtracting from 71825663 its sum of digits (38), we obtain a square (71825625 = 8475²).

The spelling of 71825663 in words is "seventy-one million, eight hundred twenty-five thousand, six hundred sixty-three".