71479200 has 288 divisors, whose sum is σ = 262483200. Its totient is φ = 16773120.

The previous prime is 71479183. The next prime is 71479217. The reversal of 71479200 is 297417.

It is an interprime number because it is at equal distance from previous prime (71479183) and next prime (71479217).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 904761 + ... + 904839.

It is an arithmetic number, because the mean of its divisors is an integer number (911400).

Almost surely, 2^71479200 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 71479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

71479200 is an abundant number, since it is smaller than the sum of its proper divisors (191004000).

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

71479200 is a wasteful number, since it uses less digits than its factorization.

71479200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 71479200 is about 8454.5372433978. The cubic root of 71479200 is about 415.0112737055.

The spelling of 71479200 in words is "seventy-one million, four hundred seventy-nine thousand, two hundred".