72770712 has 128 divisors (see below), whose sum is σ = 223257600. Its totient is φ = 19312128.

The previous prime is 72770699. The next prime is 72770717. The reversal of 72770712 is 21707727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72770717) 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 31 ways as a sum of consecutive naturals, for example, 142714 + ... + 143222.

It is an arithmetic number, because the mean of its divisors is an integer number (1744200).

Almost surely, 2^72770712 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 72770712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111628800).

72770712 is an abundant number, since it is smaller than the sum of its proper divisors (150486888).

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

72770712 is a wasteful number, since it uses less digits than its factorization.

72770712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 9604, while the sum is 33.

The square root of 72770712 is about 8530.5751271529. The cubic root of 72770712 is about 417.4958934421.

The spelling of 72770712 in words is "seventy-two million, seven hundred seventy thousand, seven hundred twelve".