71642760 has 256 divisors, whose sum is σ = 270604800. Its totient is φ = 14794752.

The previous prime is 71642759. The next prime is 71642771. The reversal of 71642760 is 6724617.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414034 + ... + 414206.

It is an arithmetic number, because the mean of its divisors is an integer number (1057050).

Almost surely, 2^71642760 is an apocalyptic number.

71642760 is a gapful number since it is divisible by the number (70) 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 71642760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135302400).

71642760 is an abundant number, since it is smaller than the sum of its proper divisors (198962040).

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

71642760 is a wasteful number, since it uses less digits than its factorization.

71642760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 71642760 is about 8464.2046289064. The cubic root of 71642760 is about 415.3275780078.

The spelling of 71642760 in words is "seventy-one million, six hundred forty-two thousand, seven hundred sixty".