46662672 has 80 divisors (see below), whose sum is σ = 139098240. Its totient is φ = 13203456.

The previous prime is 46662617. The next prime is 46662701. The reversal of 46662672 is 27626664.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46662672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37354 + ... + 38582.

It is an arithmetic number, because the mean of its divisors is an integer number (1738728).

Almost surely, 2^46662672 is an apocalyptic number.

46662672 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 46662672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69549120).

46662672 is an abundant number, since it is smaller than the sum of its proper divisors (92435568).

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

46662672 is a wasteful number, since it uses less digits than its factorization.

46662672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1354 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 46662672 is about 6831.0081247207. The cubic root of 46662672 is about 360.0171596759.

The spelling of 46662672 in words is "forty-six million, six hundred sixty-two thousand, six hundred seventy-two".