46072128 has 56 divisors (see below), whose sum is σ = 127211328. Its totient is φ = 14688256.

The previous prime is 46072123. The next prime is 46072129. The reversal of 46072128 is 82127064.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 46072095 and 46072104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46072123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 801 + ... + 9632.

Almost surely, 2^46072128 is an apocalyptic number.

46072128 is a gapful number since it is divisible by the number (48) 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 46072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63605664).

46072128 is an abundant number, since it is smaller than the sum of its proper divisors (81139200).

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

46072128 is a wasteful number, since it uses less digits than its factorization.

46072128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10471 (or 10461 counting only the distinct ones).

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

The square root of 46072128 is about 6787.6452470647. The cubic root of 46072128 is about 358.4919632736.

The spelling of 46072128 in words is "forty-six million, seventy-two thousand, one hundred twenty-eight".