45171672 has 192 divisors, whose sum is σ = 146868480. Its totient is φ = 11321856.

The previous prime is 45171667. The next prime is 45171689. The reversal of 45171672 is 27617154.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (11760) is a multiple of the sum of its prime divisors (105).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1050483 + ... + 1050525.

It is an arithmetic number, because the mean of its divisors is an integer number (764940).

Almost surely, 2^45171672 is an apocalyptic number.

45171672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45171672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73434240).

45171672 is an abundant number, since it is smaller than the sum of its proper divisors (101696808).

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

45171672 is a wasteful number, since it uses less digits than its factorization.

45171672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its digits is 11760, while the sum is 33.

The square root of 45171672 is about 6720.9874274544. The cubic root of 45171672 is about 356.1410668480.

The spelling of 45171672 in words is "forty-five million, one hundred seventy-one thousand, six hundred seventy-two".