72812240 has 40 divisors (see below), whose sum is σ = 170299368. Its totient is φ = 28951040.

The previous prime is 72812239. The next prime is 72812261. The reversal of 72812240 is 4221827.

It can be written as a sum of positive squares in 4 ways, for example, as 29463184 + 43349056 = 5428^2 + 6584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 11210 + ... + 16470.

Almost surely, 2^72812240 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 72812240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85149684).

72812240 is an abundant number, since it is smaller than the sum of its proper divisors (97487128).

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

72812240 is a wasteful number, since it uses less digits than its factorization.

72812240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5447 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 72812240 is about 8533.0088479973. The cubic root of 72812240 is about 417.5752956814.

The spelling of 72812240 in words is "seventy-two million, eight hundred twelve thousand, two hundred forty".