71625800 has 48 divisors (see below), whose sum is σ = 168136560. Its totient is φ = 28374080.

The previous prime is 71625797. The next prime is 71625803. The reversal of 71625800 is 852617.

It is an interprime number because it is at equal distance from previous prime (71625797) and next prime (71625803).

It is not an unprimeable number, because it can be changed into a prime (71625803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19727 + ... + 23073.

It is an arithmetic number, because the mean of its divisors is an integer number (3502845).

Almost surely, 2^71625800 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 71625800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84068280).

71625800 is an abundant number, since it is smaller than the sum of its proper divisors (96510760).

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

71625800 is a wasteful number, since it uses less digits than its factorization.

71625800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3470 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 71625800 is about 8463.2027034687. The cubic root of 71625800 is about 415.2948019039.

The spelling of 71625800 in words is "seventy-one million, six hundred twenty-five thousand, eight hundred".