62712080 has 40 divisors (see below), whose sum is σ = 146763672. Its totient is φ = 24920064.

The previous prime is 62712079. The next prime is 62712109. The reversal of 62712080 is 8021726.

62712080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1183744 + 61528336 = 1088^2 + 7844^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10064 + ... + 15056.

Almost surely, 2^62712080 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 62712080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73381836).

62712080 is an abundant number, since it is smaller than the sum of its proper divisors (84051592).

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

62712080 is a wasteful number, since it uses less digits than its factorization.

62712080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5163 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 62712080 is about 7919.0959079935. The cubic root of 62712080 is about 397.2986309147.

The spelling of 62712080 in words is "sixty-two million, seven hundred twelve thousand, eighty".