46772100 has 144 divisors (see below), whose sum is σ = 159364800. Its totient is φ = 11727360.

The previous prime is 46772071. The next prime is 46772101. The reversal of 46772100 is 127764.

46772100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (46772101) 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 47 ways as a sum of consecutive naturals, for example, 45391 + ... + 46409.

It is an arithmetic number, because the mean of its divisors is an integer number (1106700).

Almost surely, 2^46772100 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 46772100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79682400).

46772100 is an abundant number, since it is smaller than the sum of its proper divisors (112592700).

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

46772100 is a wasteful number, since it uses less digits than its factorization.

46772100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 46772100 is about 6839.0130866961. The cubic root of 46772100 is about 360.2983637624.

Adding to 46772100 its reverse (127764), we get a palindrome (46899864).

The spelling of 46772100 in words is "forty-six million, seven hundred seventy-two thousand, one hundred".