48733272 has 128 divisors (see below), whose sum is σ = 156441600. Its totient is φ = 13768704.

The previous prime is 48733249. The next prime is 48733273. The reversal of 48733272 is 27233784.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48733273) 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, 252408 + ... + 252600.

It is an arithmetic number, because the mean of its divisors is an integer number (1222200).

Almost surely, 2^48733272 is an apocalyptic number.

48733272 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 48733272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78220800).

48733272 is an abundant number, since it is smaller than the sum of its proper divisors (107708328).

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

48733272 is a wasteful number, since it uses less digits than its factorization.

48733272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 372 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 48733272 is about 6980.9220021427. The cubic root of 48733272 is about 365.2653902753.

The spelling of 48733272 in words is "forty-eight million, seven hundred thirty-three thousand, two hundred seventy-two".