45002672 has 120 divisors (see below), whose sum is σ = 110283120. Its totient is φ = 17571840.

The previous prime is 45002623. The next prime is 45002677. The reversal of 45002672 is 27620054.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (45002677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505604 + ... + 505692.

It is an arithmetic number, because the mean of its divisors is an integer number (919026).

Almost surely, 2^45002672 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 45002672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55141560).

45002672 is an abundant number, since it is smaller than the sum of its proper divisors (65280448).

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

45002672 is a wasteful number, since it uses less digits than its factorization.

45002672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 45002672 is about 6708.4030886642. The cubic root of 45002672 is about 355.6963703237.

The spelling of 45002672 in words is "forty-five million, two thousand, six hundred seventy-two".