72487040 has 64 divisors (see below), whose sum is σ = 176641560. Its totient is φ = 28434432.

The previous prime is 72487013. The next prime is 72487049. The reversal of 72487040 is 4078427.

It can be written as a sum of positive squares in 4 ways, for example, as 47004736 + 25482304 = 6856^2 + 5048^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 72486988 and 72487006.

It is not an unprimeable number, because it can be changed into a prime (72487049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32852 + ... + 34988.

Almost surely, 2^72487040 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 72487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88320780).

72487040 is an abundant number, since it is smaller than the sum of its proper divisors (104154520).

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

72487040 is a wasteful number, since it uses less digits than its factorization.

72487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 72487040 is about 8513.9321115452. The cubic root of 72487040 is about 416.9526981792.

The spelling of 72487040 in words is "seventy-two million, four hundred eighty-seven thousand, forty".