46770072 has 64 divisors (see below), whose sum is σ = 124032000. Its totient is φ = 14670720.

The previous prime is 46770071. The next prime is 46770089. The reversal of 46770072 is 27007764.

It is a happy number.

46770072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46770071) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26679 + ... + 28377.

It is an arithmetic number, because the mean of its divisors is an integer number (1938000).

Almost surely, 2^46770072 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 46770072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62016000).

46770072 is an abundant number, since it is smaller than the sum of its proper divisors (77261928).

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

46770072 is a wasteful number, since it uses less digits than its factorization.

46770072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 46770072 is about 6838.8648180820. The cubic root of 46770072 is about 360.2931562730.

The spelling of 46770072 in words is "forty-six million, seven hundred seventy thousand, seventy-two".