46575972 has 60 divisors (see below), whose sum is σ = 125982780. Its totient is φ = 14986944.

The previous prime is 46575967. The next prime is 46575983. The reversal of 46575972 is 27957564.

46575972 is a `hidden beast` number, since 4 + 6 + 57 + 597 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32558436 + 14017536 = 5706^2 + 3744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6918 + ... + 11874.

It is an arithmetic number, because the mean of its divisors is an integer number (2099713).

Almost surely, 2^46575972 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 46575972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62991390).

46575972 is an abundant number, since it is smaller than the sum of its proper divisors (79406808).

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

46575972 is a wasteful number, since it uses less digits than its factorization.

46575972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5002 (or 4991 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 46575972 is about 6824.6591123660. The cubic root of 46575972 is about 359.7940488673.

The spelling of 46575972 in words is "forty-six million, five hundred seventy-five thousand, nine hundred seventy-two".