71825264 has 80 divisors (see below), whose sum is σ = 166465536. Its totient is φ = 29376000.

The previous prime is 71825261. The next prime is 71825267. The reversal of 71825264 is 46252817.

It is an interprime number because it is at equal distance from previous prime (71825261) and next prime (71825267).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71825261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475589 + ... + 475739.

Almost surely, 2^71825264 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 71825264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83232768).

71825264 is an abundant number, since it is smaller than the sum of its proper divisors (94640272).

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

71825264 is a wasteful number, since it uses less digits than its factorization.

71825264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 71825264 is about 8474.9787020381. The cubic root of 71825264 is about 415.6799498380.

The spelling of 71825264 in words is "seventy-one million, eight hundred twenty-five thousand, two hundred sixty-four".