48732000 has 192 divisors, whose sum is σ = 166053888. Its totient is φ = 12480000.

The previous prime is 48731999. The next prime is 48732001. The reversal of 48732000 is 23784.

It is an interprime number because it is at equal distance from previous prime (48731999) and next prime (48732001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48732001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371935 + ... + 372065.

It is an arithmetic number, because the mean of its divisors is an integer number (864864).

Almost surely, 2^48732000 is an apocalyptic number.

48732000 is a gapful number since it is divisible by the number (40) 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 48732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83026944).

48732000 is an abundant number, since it is smaller than the sum of its proper divisors (117321888).

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

48732000 is a wasteful number, since it uses less digits than its factorization.

48732000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 48732000 is about 6980.8308961040. The cubic root of 48732000 is about 365.2622122848.

Adding to 48732000 its reverse (23784), we get a palindrome (48755784).

The spelling of 48732000 in words is "forty-eight million, seven hundred thirty-two thousand".