48724032 has 84 divisors (see below), whose sum is σ = 149992080. Its totient is φ = 13918464.

The previous prime is 48724003. The next prime is 48724061. The reversal of 48724032 is 23042784.

It is an interprime number because it is at equal distance from previous prime (48724003) and next prime (48724061).

It is a tau number, because it is divible by the number of its divisors (84).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6819 + ... + 11997.

It is an arithmetic number, because the mean of its divisors is an integer number (1785620).

Almost surely, 2^48724032 is an apocalyptic number.

48724032 is a gapful number since it is divisible by the number (42) 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 48724032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74996040).

48724032 is an abundant number, since it is smaller than the sum of its proper divisors (101268048).

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

48724032 is a wasteful number, since it uses less digits than its factorization.

48724032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5208 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 48724032 is about 6980.2601670711. The cubic root of 48724032 is about 365.2423036146.

The spelling of 48724032 in words is "forty-eight million, seven hundred twenty-four thousand, thirty-two".