45711072 has 144 divisors (see below), whose sum is σ = 145297152. Its totient is φ = 13512960.

The previous prime is 45711053. The next prime is 45711089. The reversal of 45711072 is 27011754.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148743 + ... + 149049.

It is an arithmetic number, because the mean of its divisors is an integer number (1009008).

Almost surely, 2^45711072 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 45711072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72648576).

45711072 is an abundant number, since it is smaller than the sum of its proper divisors (99586080).

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

45711072 is a wasteful number, since it uses less digits than its factorization.

45711072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 45711072 is about 6760.9963762747. The cubic root of 45711072 is about 357.5530349865.

It can be divided in two parts, 45 and 711072, that added together give a palindrome (711117).

The spelling of 45711072 in words is "forty-five million, seven hundred eleven thousand, seventy-two".