45395712 has 216 divisors, whose sum is σ = 148271760. Its totient is φ = 13271040.

The previous prime is 45395711. The next prime is 45395741. The reversal of 45395712 is 21759354.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45395711) 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 23 ways as a sum of consecutive naturals, for example, 744162 + ... + 744222.

Almost surely, 2^45395712 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 45395712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74135880).

45395712 is an abundant number, since it is smaller than the sum of its proper divisors (102876048).

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

45395712 is a wasteful number, since it uses less digits than its factorization.

45395712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 102 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 45395712 is about 6737.6340060885. The cubic root of 45395712 is about 356.7288857983.

The spelling of 45395712 in words is "forty-five million, three hundred ninety-five thousand, seven hundred twelve".