45350172 has 96 divisors (see below), whose sum is σ = 135475200. Its totient is φ = 12851136.

The previous prime is 45350167. The next prime is 45350183. The reversal of 45350172 is 27105354.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168454 + ... + 168722.

It is an arithmetic number, because the mean of its divisors is an integer number (1411200).

Almost surely, 2^45350172 is an apocalyptic number.

45350172 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 45350172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67737600).

45350172 is an abundant number, since it is smaller than the sum of its proper divisors (90125028).

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

45350172 is a wasteful number, since it uses less digits than its factorization.

45350172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 45350172 is about 6734.2536334771. The cubic root of 45350172 is about 356.6095583102.

It can be divided in two parts, 453 and 50172, that added together give a 4-th power (50625 = 15⁴).

The spelling of 45350172 in words is "forty-five million, three hundred fifty thousand, one hundred seventy-two".