45777732 has 192 divisors, whose sum is σ = 148721664. Its totient is φ = 10575360.

The previous prime is 45777713. The next prime is 45777733. The reversal of 45777732 is 23777754.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (45777733) 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 63 ways as a sum of consecutive naturals, for example, 444393 + ... + 444495.

It is an arithmetic number, because the mean of its divisors is an integer number (774592).

Almost surely, 2^45777732 is an apocalyptic number.

45777732 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45777732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74360832).

45777732 is an abundant number, since it is smaller than the sum of its proper divisors (102943932).

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

45777732 is a wasteful number, since it uses less digits than its factorization.

45777732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 176 counting only the distinct ones).

The product of its digits is 288120, while the sum is 42.

The square root of 45777732 is about 6765.9243270968. The cubic root of 45777732 is about 357.7267559092.

It can be divided in two parts, 45 and 777732, that added together give a palindrome (777777).

The spelling of 45777732 in words is "forty-five million, seven hundred seventy-seven thousand, seven hundred thirty-two".