71532300 has 144 divisors (see below), whose sum is σ = 246984192. Its totient is φ = 15628800.

The previous prime is 71532289. The next prime is 71532313. The reversal of 71532300 is 323517.

It is a happy number.

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

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 47 ways as a sum of consecutive naturals, for example, 47560 + ... + 49040.

It is an arithmetic number, because the mean of its divisors is an integer number (1715168).

Almost surely, 2^71532300 is an apocalyptic number.

71532300 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 71532300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123492096).

71532300 is an abundant number, since it is smaller than the sum of its proper divisors (175451892).

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

71532300 is a wasteful number, since it uses less digits than its factorization.

71532300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 71532300 is about 8457.6769860287. The cubic root of 71532300 is about 415.1140152207.

Adding to 71532300 its reverse (323517), we get a palindrome (71855817).

It can be divided in two parts, 7153 and 2300, that added together give a triangular number (9453 = T₁₃₇).

The spelling of 71532300 in words is "seventy-one million, five hundred thirty-two thousand, three hundred".