46725756 has 96 divisors (see below), whose sum is σ = 138324480. Its totient is φ = 11923200.

The previous prime is 46725751. The next prime is 46725761. The reversal of 46725756 is 65752764.

It is an interprime number because it is at equal distance from previous prime (46725751) and next prime (46725761).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46725751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55950 + ... + 56778.

It is an arithmetic number, because the mean of its divisors is an integer number (1440880).

Almost surely, 2^46725756 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 46725756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69162240).

46725756 is an abundant number, since it is smaller than the sum of its proper divisors (91598724).

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

46725756 is a wasteful number, since it uses less digits than its factorization.

46725756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 913 counting only the distinct ones).

The product of its digits is 352800, while the sum is 42.

The square root of 46725756 is about 6835.6240388131. The cubic root of 46725756 is about 360.1793242399.

The spelling of 46725756 in words is "forty-six million, seven hundred twenty-five thousand, seven hundred fifty-six".