46006272 has 144 divisors (see below), whose sum is σ = 146800080. Its totient is φ = 14155776.

The previous prime is 46006249. The next prime is 46006291. The reversal of 46006272 is 27260064.

It is a tau number, because it is divible by the number of its divisors (144).

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3538938 + ... + 3538950.

It is an arithmetic number, because the mean of its divisors is an integer number (1019445).

Almost surely, 2^46006272 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 46006272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73400040).

46006272 is an abundant number, since it is smaller than the sum of its proper divisors (100793808).

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

46006272 is an frugal number, since it uses more digits than its factorization.

46006272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 46006272 is about 6782.7923453398. The cubic root of 46006272 is about 358.3210710545.

The spelling of 46006272 in words is "forty-six million, six thousand, two hundred seventy-two".