71514900 has 162 divisors, whose sum is σ = 234904670. Its totient is φ = 18895680.

The previous prime is 71514887. The next prime is 71514907. The reversal of 71514900 is 941517.

It can be written as a sum of positive squares in 3 ways, for example, as 8503056 + 63011844 = 2916^2 + 7938^2 .

It is a tau number, because it is divible by the number of its divisors (162).

It is a super-2 number, since 2×71514900² = 10228761844020000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71514907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 656046 + ... + 656154.

Almost surely, 2^71514900 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 71514900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117452335).

71514900 is an abundant number, since it is smaller than the sum of its proper divisors (163389770).

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

71514900 is a wasteful number, since it uses less digits than its factorization.

71514900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 71514900 is about 8456.6482722175. The cubic root of 71514900 is about 415.0803541119.

The spelling of 71514900 in words is "seventy-one million, five hundred fourteen thousand, nine hundred".