46725120 has 288 divisors, whose sum is σ = 179852400. Its totient is φ = 11501568.

The previous prime is 46725113. The next prime is 46725131. The reversal of 46725120 is 2152764.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3594234 + ... + 3594246.

Almost surely, 2^46725120 is an apocalyptic number.

46725120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89926200).

46725120 is an abundant number, since it is smaller than the sum of its proper divisors (133127280).

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

46725120 is a wasteful number, since it uses less digits than its factorization.

46725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 46725120 is about 6835.5775176645. The cubic root of 46725120 is about 360.1776900585.

Adding to 46725120 its reverse (2152764), we get a palindrome (48877884).

The spelling of 46725120 in words is "forty-six million, seven hundred twenty-five thousand, one hundred twenty".