46872672 has 192 divisors, whose sum is σ = 162860544. Its totient is φ = 11427840.

The previous prime is 46872667. The next prime is 46872691. The reversal of 46872672 is 27627864.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 125478 + ... + 125850.

It is an arithmetic number, because the mean of its divisors is an integer number (848232).

Almost surely, 2^46872672 is an apocalyptic number.

46872672 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 46872672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81430272).

46872672 is an abundant number, since it is smaller than the sum of its proper divisors (115987872).

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

46872672 is a wasteful number, since it uses less digits than its factorization.

46872672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 46872672 is about 6846.3619536218. The cubic root of 46872672 is about 360.5564234878.

The spelling of 46872672 in words is "forty-six million, eight hundred seventy-two thousand, six hundred seventy-two".