71443680 has 192 divisors, whose sum is σ = 280723968. Its totient is φ = 14837760.

The previous prime is 71443657. The next prime is 71443693. The reversal of 71443680 is 8634417.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 35994 + ... + 37926.

It is an arithmetic number, because the mean of its divisors is an integer number (1462104).

Almost surely, 2^71443680 is an apocalyptic number.

71443680 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 71443680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140361984).

71443680 is an abundant number, since it is smaller than the sum of its proper divisors (209280288).

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

71443680 is a wasteful number, since it uses less digits than its factorization.

71443680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 71443680 is about 8452.4363351640. The cubic root of 71443680 is about 414.9425187721.

The spelling of 71443680 in words is "seventy-one million, four hundred forty-three thousand, six hundred eighty".