71465760 has 192 divisors, whose sum is σ = 254741760. Its totient is φ = 18708480.

The previous prime is 71465749. The next prime is 71465791. The reversal of 71465760 is 6756417.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306604 + ... + 306836.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 2^71465760 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 71465760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880).

71465760 is an abundant number, since it is smaller than the sum of its proper divisors (183276000).

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

71465760 is a wasteful number, since it uses less digits than its factorization.

71465760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 71465760 is about 8453.7423665499. The cubic root of 71465760 is about 414.9852610046.

The spelling of 71465760 in words is "seventy-one million, four hundred sixty-five thousand, seven hundred sixty".