46971072 has 42 divisors (see below), whose sum is σ = 134635748. Its totient is φ = 15656832.

The previous prime is 46971061. The next prime is 46971101. The reversal of 46971072 is 27017964.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 40198 + ... + 41349.

Almost surely, 2^46971072 is an apocalyptic number.

It is an amenable number.

46971072 is an abundant number, since it is smaller than the sum of its proper divisors (87664676).

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

46971072 is a wasteful number, since it uses less digits than its factorization.

46971072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81565 (or 81552 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 46971072 is about 6853.5444844256. The cubic root of 46971072 is about 360.8085530164.

Subtracting from 46971072 its product of nonzero digits (21168), we obtain a square (46949904 = 6852²).

The spelling of 46971072 in words is "forty-six million, nine hundred seventy-one thousand, seventy-two".