71452800 has 192 divisors, whose sum is σ = 261813600. Its totient is φ = 19031040.

The previous prime is 71452769. The next prime is 71452807. The reversal of 71452800 is 825417.

71452800 = 89³ + 90³ + ... + 136³.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (71452807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85987 + ... + 86813.

Almost surely, 2^71452800 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 71452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130906800).

71452800 is an abundant number, since it is smaller than the sum of its proper divisors (190360800).

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

71452800 is a wasteful number, since it uses less digits than its factorization.

71452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 71452800 is about 8452.9758073710. The cubic root of 71452800 is about 414.9601742399.

The spelling of 71452800 in words is "seventy-one million, four hundred fifty-two thousand, eight hundred".