48072300 has 72 divisors (see below), whose sum is σ = 145157376. Its totient is φ = 12260160.

The previous prime is 48072293. The next prime is 48072359. The reversal of 48072300 is 327084.

It is a super-3 number, since 3×48072300³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3417 + ... + 10383.

Almost surely, 2^48072300 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 48072300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72578688).

48072300 is an abundant number, since it is smaller than the sum of its proper divisors (97085076).

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

48072300 is a wasteful number, since it uses less digits than its factorization.

48072300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7007 (or 7000 counting only the distinct ones).

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

The square root of 48072300 is about 6933.4190699827. The cubic root of 48072300 is about 363.6064962211.

Adding to 48072300 its reverse (327084), we get a palindrome (48399384).

The spelling of 48072300 in words is "forty-eight million, seventy-two thousand, three hundred".