46567872 has 140 divisors (see below), whose sum is σ = 148875496. Its totient is φ = 14307840.

The previous prime is 46567831. The next prime is 46567877. The reversal of 46567872 is 27876564.

46567872 is a `hidden beast` number, since 4 + 6 + 567 + 87 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46567877) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67047 + ... + 67737.

Almost surely, 2^46567872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46567872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74437748).

46567872 is an abundant number, since it is smaller than the sum of its proper divisors (102307624).

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

46567872 is a wasteful number, since it uses less digits than its factorization.

46567872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 709 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 46567872 is about 6824.0656503290. The cubic root of 46567872 is about 359.7731904673.

The spelling of 46567872 in words is "forty-six million, five hundred sixty-seven thousand, eight hundred seventy-two".