46072160 has 48 divisors (see below), whose sum is σ = 109961712. Its totient is φ = 18240000.

The previous prime is 46072157. The next prime is 46072163. The reversal of 46072160 is 6127064.

It is an interprime number because it is at equal distance from previous prime (46072157) and next prime (46072163).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46072163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14735 + ... + 17585.

It is an arithmetic number, because the mean of its divisors is an integer number (2290869).

Almost surely, 2^46072160 is an apocalyptic number.

46072160 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 46072160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54980856).

46072160 is an abundant number, since it is smaller than the sum of its proper divisors (63889552).

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

46072160 is a wasteful number, since it uses less digits than its factorization.

46072160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 46072160 is about 6787.6476042882. The cubic root of 46072160 is about 358.4920462720.

The spelling of 46072160 in words is "forty-six million, seventy-two thousand, one hundred sixty".