46972512 has 72 divisors (see below), whose sum is σ = 136720584. Its totient is φ = 15289344.

The previous prime is 46972487. The next prime is 46972537. The reversal of 46972512 is 21527964.

46972512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46972487) and next prime (46972537).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10488 + ... + 14280.

It is an arithmetic number, because the mean of its divisors is an integer number (1898897).

Almost surely, 2^46972512 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 46972512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68360292).

46972512 is an abundant number, since it is smaller than the sum of its proper divisors (89748072).

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

46972512 is a wasteful number, since it uses less digits than its factorization.

46972512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3852 (or 3841 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 46972512 is about 6853.6495387494. The cubic root of 46972512 is about 360.8122401014.

The spelling of 46972512 in words is "forty-six million, nine hundred seventy-two thousand, five hundred twelve".