71451072 has 280 divisors, whose sum is σ = 265541760. Its totient is φ = 18455040.

The previous prime is 71451067. The next prime is 71451097. The reversal of 71451072 is 27015417.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 399079 + ... + 399257.

Almost surely, 2^71451072 is an apocalyptic number.

71451072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71451072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132770880).

71451072 is an abundant number, since it is smaller than the sum of its proper divisors (194090688).

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

71451072 is a wasteful number, since it uses less digits than its factorization.

71451072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 71451072 is about 8452.8735942282. The cubic root of 71451072 is about 414.9568291087.

Adding to 71451072 its reverse (27015417), we get a palindrome (98466489).

The spelling of 71451072 in words is "seventy-one million, four hundred fifty-one thousand, seventy-two".