46672000 has 64 divisors (see below), whose sum is σ = 116078040. Its totient is φ = 18662400.

The previous prime is 46671983. The next prime is 46672013. The reversal of 46672000 is 27664.

It can be written as a sum of positive squares in 4 ways, for example, as 30735936 + 15936064 = 5544^2 + 3992^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14542 + ... + 17458.

Almost surely, 2^46672000 is an apocalyptic number.

46672000 is a gapful number since it is divisible by the number (40) 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 46672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58039020).

46672000 is an abundant number, since it is smaller than the sum of its proper divisors (69406040).

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

46672000 is an equidigital number, since it uses as much as digits as its factorization.

46672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 46672000 is about 6831.6908595164. The cubic root of 46672000 is about 360.0411475601.

Adding to 46672000 its reverse (27664), we get a palindrome (46699664).

The spelling of 46672000 in words is "forty-six million, six hundred seventy-two thousand".