46935072 has 48 divisors (see below), whose sum is σ = 136896480. Its totient is φ = 15644736.

The previous prime is 46935029. The next prime is 46935101. The reversal of 46935072 is 27053964.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26298 + ... + 28025.

It is an arithmetic number, because the mean of its divisors is an integer number (2852010).

Almost surely, 2^46935072 is an apocalyptic number.

It is an amenable number.

46935072 is an abundant number, since it is smaller than the sum of its proper divisors (89961408).

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

46935072 is a wasteful number, since it uses less digits than its factorization.

46935072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54342 (or 54328 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 46935072 is about 6850.9176027741. The cubic root of 46935072 is about 360.7163513898.

The spelling of 46935072 in words is "forty-six million, nine hundred thirty-five thousand, seventy-two".