72467824 has 80 divisors (see below), whose sum is σ = 173738880. Its totient is φ = 28788480.

The previous prime is 72467819. The next prime is 72467831. The reversal of 72467824 is 42876427.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 42639 + ... + 44305.

It is an arithmetic number, because the mean of its divisors is an integer number (2171736).

Almost surely, 2^72467824 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 72467824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86869440).

72467824 is an abundant number, since it is smaller than the sum of its proper divisors (101271056).

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

72467824 is a wasteful number, since it uses less digits than its factorization.

72467824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1712 counting only the distinct ones).

The product of its digits is 150528, while the sum is 40.

The square root of 72467824 is about 8512.8035335018. The cubic root of 72467824 is about 416.9158508055.

The spelling of 72467824 in words is "seventy-two million, four hundred sixty-seven thousand, eight hundred twenty-four".