71429200 has 60 divisors (see below), whose sum is σ = 172487968. Its totient is φ = 28425600.

The previous prime is 71429173. The next prime is 71429201. The reversal of 71429200 is 292417.

It is a super-2 number, since 2×71429200² = 10204261225280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71429201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112885 + ... + 113515.

Almost surely, 2^71429200 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 71429200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86243984).

71429200 is an abundant number, since it is smaller than the sum of its proper divisors (101058768).

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

71429200 is a wasteful number, since it uses less digits than its factorization.

71429200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 71429200 is about 8451.5797339906. The cubic root of 71429200 is about 414.9144837585.

The spelling of 71429200 in words is "seventy-one million, four hundred twenty-nine thousand, two hundred".