71514300 has 144 divisors (see below), whose sum is σ = 243234432. Its totient is φ = 15993600.

The previous prime is 71514299. The next prime is 71514301. The reversal of 71514300 is 341517.

It is an interprime number because it is at equal distance from previous prime (71514299) and next prime (71514301).

It is a super-2 number, since 2×71514300² = 10228590208980000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71514301) 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, 42067 + ... + 43733.

It is an arithmetic number, because the mean of its divisors is an integer number (1689128).

Almost surely, 2^71514300 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 71514300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121617216).

71514300 is an abundant number, since it is smaller than the sum of its proper divisors (171720132).

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

71514300 is a wasteful number, since it uses less digits than its factorization.

71514300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 71514300 is about 8456.6127970955. The cubic root of 71514300 is about 415.0791932867.

Adding to 71514300 its reverse (341517), we get a palindrome (71855817).

The spelling of 71514300 in words is "seventy-one million, five hundred fourteen thousand, three hundred".