45777072 has 80 divisors (see below), whose sum is σ = 129991680. Its totient is φ = 13766400.

The previous prime is 45777071. The next prime is 45777089. The reversal of 45777072 is 27077754.

It is a self number, because there is not a number n which added to its sum of digits gives 45777072.

It is not an unprimeable number, because it can be changed into a prime (45777071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95329 + ... + 95807.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 2^45777072 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 45777072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64995840).

45777072 is an abundant number, since it is smaller than the sum of its proper divisors (84214608).

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

45777072 is a wasteful number, since it uses less digits than its factorization.

45777072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 96040, while the sum is 39.

The square root of 45777072 is about 6765.8755530973. The cubic root of 45777072 is about 357.7250367270.

The spelling of 45777072 in words is "forty-five million, seven hundred seventy-seven thousand, seventy-two".