46736172 has 72 divisors (see below), whose sum is σ = 135862272. Its totient is φ = 13269600.

The previous prime is 46736167. The next prime is 46736177. The reversal of 46736172 is 27163764.

It is an interprime number because it is at equal distance from previous prime (46736167) and next prime (46736177).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (46736177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47647 + ... + 48617.

It is an arithmetic number, because the mean of its divisors is an integer number (1886976).

Almost surely, 2^46736172 is an apocalyptic number.

46736172 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 46736172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67931136).

46736172 is an abundant number, since it is smaller than the sum of its proper divisors (89126100).

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

46736172 is a wasteful number, since it uses less digits than its factorization.

46736172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1174 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 46736172 is about 6836.3858872945. The cubic root of 46736172 is about 360.2060857053.

The spelling of 46736172 in words is "forty-six million, seven hundred thirty-six thousand, one hundred seventy-two".