46287072 has 144 divisors (see below), whose sum is σ = 146648880. Its totient is φ = 14197248.

The previous prime is 46287053. The next prime is 46287077. The reversal of 46287072 is 27078264.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46287077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145858 + ... + 146174.

It is an arithmetic number, because the mean of its divisors is an integer number (1018395).

Almost surely, 2^46287072 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 46287072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73324440).

46287072 is an abundant number, since it is smaller than the sum of its proper divisors (100361808).

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

46287072 is a wasteful number, since it uses less digits than its factorization.

46287072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 46287072 is about 6803.4602960552. The cubic root of 46287072 is about 359.0485989819.

The spelling of 46287072 in words is "forty-six million, two hundred eighty-seven thousand, seventy-two".