71725024 has 72 divisors (see below), whose sum is σ = 165904200. Its totient is φ = 30433536.

The previous prime is 71725013. The next prime is 71725037. The reversal of 71725024 is 42052717.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 71724983 and 71725001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 233479 + ... + 233785.

It is an arithmetic number, because the mean of its divisors is an integer number (2304225).

Almost surely, 2^71725024 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 71725024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82952100).

71725024 is an abundant number, since it is smaller than the sum of its proper divisors (94179176).

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

71725024 is a wasteful number, since it uses less digits than its factorization.

71725024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 71725024 is about 8469.0627580624. The cubic root of 71725024 is about 415.4864842204.

The spelling of 71725024 in words is "seventy-one million, seven hundred twenty-five thousand, twenty-four".