72824248 has 16 divisors (see below), whose sum is σ = 156052080. Its totient is φ = 31210368.

The previous prime is 72824221. The next prime is 72824261. The reversal of 72824248 is 84242827.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 650161 + ... + 650272.

It is an arithmetic number, because the mean of its divisors is an integer number (9753255).

Almost surely, 2^72824248 is an apocalyptic number.

It is an amenable number.

72824248 is an abundant number, since it is smaller than the sum of its proper divisors (83227832).

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

72824248 is a wasteful number, since it uses less digits than its factorization.

72824248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300446 (or 1300442 counting only the distinct ones).

The product of its digits is 57344, while the sum is 37.

The square root of 72824248 is about 8533.7124394955. The cubic root of 72824248 is about 417.5982495535.

It can be divided in two parts, 728 and 24248, that added together give a triangular number (24976 = T₂₂₃).

The spelling of 72824248 in words is "seventy-two million, eight hundred twenty-four thousand, two hundred forty-eight".