71625600 has 192 divisors, whose sum is σ = 262446000. Its totient is φ = 19077120.

The previous prime is 71625577. The next prime is 71625661. The reversal of 71625600 is 652617.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85986 + ... + 86814.

Almost surely, 2^71625600 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 71625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131223000).

71625600 is an abundant number, since it is smaller than the sum of its proper divisors (190820400).

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

71625600 is a wasteful number, since it uses less digits than its factorization.

71625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 71625600 is about 8463.1908876026. The cubic root of 71625600 is about 415.2944153624.

The spelling of 71625600 in words is "seventy-one million, six hundred twenty-five thousand, six hundred".