46215072 has 72 divisors (see below), whose sum is σ = 135007236. Its totient is φ = 14985216.

The previous prime is 46215041. The next prime is 46215101. The reversal of 46215072 is 27051264.

It can be written as a sum of positive squares in 2 ways, for example, as 45643536 + 571536 = 6756^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8488 + ... + 12824.

Almost surely, 2^46215072 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 46215072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67503618).

46215072 is an abundant number, since it is smaller than the sum of its proper divisors (88792164).

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

46215072 is a wasteful number, since it uses less digits than its factorization.

46215072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 4379 counting only the distinct ones).

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

The square root of 46215072 is about 6798.1668117221. The cubic root of 46215072 is about 358.8623344830.

The spelling of 46215072 in words is "forty-six million, two hundred fifteen thousand, seventy-two".