72077824 has 180 divisors, whose sum is σ = 192076434. Its totient is φ = 26836992.

The previous prime is 72077749. The next prime is 72077833. The reversal of 72077824 is 42877027.

It can be written as a sum of positive squares in 3 ways, for example, as 46676224 + 25401600 = 6832^2 + 5040^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4239864 + ... + 4239880.

Almost surely, 2^72077824 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 72077824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96038217).

72077824 is an abundant number, since it is smaller than the sum of its proper divisors (119998610).

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

72077824 is a wasteful number, since it uses less digits than its factorization.

72077824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 37.

The square root of 72077824 is about 8489.8659588948. The cubic root of 72077824 is about 416.1665999377.

The spelling of 72077824 in words is "seventy-two million, seventy-seven thousand, eight hundred twenty-four".