71437440 has 128 divisors (see below), whose sum is σ = 235742400. Its totient is φ = 18378752.

The previous prime is 71437439. The next prime is 71437453. The reversal of 71437440 is 4473417.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 71437398 and 71437407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55039 + ... + 56321.

Almost surely, 2^71437440 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 71437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117871200).

71437440 is an abundant number, since it is smaller than the sum of its proper divisors (164304960).

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

71437440 is a wasteful number, since it uses less digits than its factorization.

71437440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 71437440 is about 8452.0672027617. The cubic root of 71437440 is about 414.9304378495.

The spelling of 71437440 in words is "seventy-one million, four hundred thirty-seven thousand, four hundred forty".