72484050 has 96 divisors (see below), whose sum is σ = 195969600. Its totient is φ = 17660160.

The previous prime is 72484033. The next prime is 72484091. The reversal of 72484050 is 5048427.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72483999 and 72484017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82212 + ... + 83088.

It is an arithmetic number, because the mean of its divisors is an integer number (2041350).

Almost surely, 2^72484050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72484050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97984800).

72484050 is an abundant number, since it is smaller than the sum of its proper divisors (123485550).

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

72484050 is a wasteful number, since it uses less digits than its factorization.

72484050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 72484050 is about 8513.7565151935. The cubic root of 72484050 is about 416.9469651741.

The spelling of 72484050 in words is "seventy-two million, four hundred eighty-four thousand, fifty".