71132600 has 192 divisors, whose sum is σ = 214272000. Its totient is φ = 21312000.

The previous prime is 71132597. The next prime is 71132603. The reversal of 71132600 is 623117.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71132597) and next prime (71132603).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71132603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477326 + ... + 477474.

It is an arithmetic number, because the mean of its divisors is an integer number (1116000).

Almost surely, 2^71132600 is an apocalyptic number.

71132600 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 71132600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107136000).

71132600 is an abundant number, since it is smaller than the sum of its proper divisors (143139400).

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

71132600 is a wasteful number, since it uses less digits than its factorization.

71132600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 71132600 is about 8434.0144652473. The cubic root of 71132600 is about 414.3393951164.

Adding to 71132600 its reverse (623117), we get a palindrome (71755717).

The spelling of 71132600 in words is "seventy-one million, one hundred thirty-two thousand, six hundred".