46872120 has 64 divisors (see below), whose sum is σ = 145476000. Its totient is φ = 12067328.

The previous prime is 46872109. The next prime is 46872121. The reversal of 46872120 is 2127864.

46872120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×46872120³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46872121) 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, 3255 + ... + 10214.

Almost surely, 2^46872120 is an apocalyptic number.

46872120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46872120 is an abundant number, since it is smaller than the sum of its proper divisors (98603880).

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

46872120 is a wasteful number, since it uses less digits than its factorization.

46872120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13512 (or 13508 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 46872120 is about 6846.3216401218. The cubic root of 46872120 is about 360.5550081078. Note that the first 3 decimals are identical.

Adding to 46872120 its reverse (2127864), we get a palindrome (48999984).

The spelling of 46872120 in words is "forty-six million, eight hundred seventy-two thousand, one hundred twenty".