71053200 has 360 divisors, whose sum is σ = 277044768. Its totient is φ = 17418240.

The previous prime is 71053193. The next prime is 71053207. The reversal of 71053200 is 235017.

It is an interprime number because it is at equal distance from previous prime (71053193) and next prime (71053207).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (71053207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1652379 + ... + 1652421.

Almost surely, 2^71053200 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 71053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138522384).

71053200 is an abundant number, since it is smaller than the sum of its proper divisors (205991568).

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

71053200 is a wasteful number, since it uses less digits than its factorization.

71053200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 71053200 is about 8429.3060212570. The cubic root of 71053200 is about 414.1851723629.

Adding to 71053200 its reverse (235017), we get a palindrome (71288217).

It can be divided in two parts, 71053 and 200, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 71053200 in words is "seventy-one million, fifty-three thousand, two hundred".