45372672 has 108 divisors (see below), whose sum is σ = 133922880. Its totient is φ = 14767104.

The previous prime is 45372671. The next prime is 45372673. The reversal of 45372672 is 27627354.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45372671) and next prime (45372673).

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 (45372671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108079 + ... + 108497.

Almost surely, 2^45372672 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 45372672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66961440).

45372672 is an abundant number, since it is smaller than the sum of its proper divisors (88550208).

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

45372672 is a wasteful number, since it uses less digits than its factorization.

45372672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 471 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 45372672 is about 6735.9239900700. The cubic root of 45372672 is about 356.6685245582.

The spelling of 45372672 in words is "forty-five million, three hundred seventy-two thousand, six hundred seventy-two".