70728960 has 144 divisors (see below), whose sum is σ = 229287744. Its totient is φ = 18579456.

The previous prime is 70728953. The next prime is 70728961. The reversal of 70728960 is 6982707.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70728961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433839 + ... + 434001.

It is an arithmetic number, because the mean of its divisors is an integer number (1592276).

Almost surely, 2^70728960 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 70728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114643872).

70728960 is an abundant number, since it is smaller than the sum of its proper divisors (158558784).

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

70728960 is a wasteful number, since it uses less digits than its factorization.

70728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 70728960 is about 8410.0511294522. The cubic root of 70728960 is about 413.5541888260.

The spelling of 70728960 in words is "seventy million, seven hundred twenty-eight thousand, nine hundred sixty".