45714672 has 160 divisors (see below), whose sum is σ = 140616000. Its totient is φ = 14192640.

The previous prime is 45714671. The next prime is 45714689. The reversal of 45714672 is 27641754.

45714672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (45714671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513604 + ... + 513692.

It is an arithmetic number, because the mean of its divisors is an integer number (878850).

Almost surely, 2^45714672 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 45714672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70308000).

45714672 is an abundant number, since it is smaller than the sum of its proper divisors (94901328).

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

45714672 is a wasteful number, since it uses less digits than its factorization.

45714672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 45714672 is about 6761.2626039816. The cubic root of 45714672 is about 357.5624211671.

It can be divided in two parts, 457 and 14672, that added together give a square (15129 = 123²).

The spelling of 45714672 in words is "forty-five million, seven hundred fourteen thousand, six hundred seventy-two".