71601600 has 168 divisors, whose sum is σ = 268597888. Its totient is φ = 16358400.

The previous prime is 71601533. The next prime is 71601601. The reversal of 71601600 is 610617.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71601601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32535 + ... + 34665.

Almost surely, 2^71601600 is an apocalyptic number.

71601600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134298944).

71601600 is an abundant number, since it is smaller than the sum of its proper divisors (196996288).

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

71601600 is a wasteful number, since it uses less digits than its factorization.

71601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 71601600 is about 8461.7728638861. The cubic root of 71601600 is about 415.2480251546.

The spelling of 71601600 in words is "seventy-one million, six hundred one thousand, six hundred".