72487548 has 120 divisors (see below), whose sum is σ = 223770624. Its totient is φ = 20023200.

The previous prime is 72487543. The next prime is 72487553. The reversal of 72487548 is 84578427.

72487548 is a `hidden beast` number, since 7 + 24 + 87 + 548 = 666.

It is an interprime number because it is at equal distance from previous prime (72487543) and next prime (72487553).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72487543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69793 + ... + 70823.

Almost surely, 2^72487548 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 72487548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111885312).

72487548 is an abundant number, since it is smaller than the sum of its proper divisors (151283076).

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

72487548 is a wasteful number, since it uses less digits than its factorization.

72487548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1074 counting only the distinct ones).

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

The square root of 72487548 is about 8513.9619449467. The cubic root of 72487548 is about 416.9536721992.

The spelling of 72487548 in words is "seventy-two million, four hundred eighty-seven thousand, five hundred forty-eight".