72857484 has 72 divisors (see below), whose sum is σ = 212179968. Its totient is φ = 20648160.

The previous prime is 72857467. The next prime is 72857489. The reversal of 72857484 is 48475827.

72857484 is a `hidden beast` number, since 72 + 8 + 574 + 8 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (72857489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31909 + ... + 34115.

It is an arithmetic number, because the mean of its divisors is an integer number (2946944).

Almost surely, 2^72857484 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 72857484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106089984).

72857484 is an abundant number, since it is smaller than the sum of its proper divisors (139322484).

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

72857484 is a wasteful number, since it uses less digits than its factorization.

72857484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2350 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 72857484 is about 8535.6595527235. The cubic root of 72857484 is about 417.6617686189.

It can be divided in two parts, 728574 and 84, that multiplied together give a palindrome (61200216).

The spelling of 72857484 in words is "seventy-two million, eight hundred fifty-seven thousand, four hundred eighty-four".