71628960 has 144 divisors (see below), whose sum is σ = 244599264. Its totient is φ = 17611776.

The previous prime is 71628911. The next prime is 71628961. The reversal of 71628960 is 6982617.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (71628961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80679 + ... + 81561.

It is an arithmetic number, because the mean of its divisors is an integer number (1698606).

Almost surely, 2^71628960 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 71628960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122299632).

71628960 is an abundant number, since it is smaller than the sum of its proper divisors (172970304).

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

71628960 is a wasteful number, since it uses less digits than its factorization.

71628960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 71628960 is about 8463.3893919635. The cubic root of 71628960 is about 415.3009091645.

The spelling of 71628960 in words is "seventy-one million, six hundred twenty-eight thousand, nine hundred sixty".