72994824 has 128 divisors (see below), whose sum is σ = 241920000. Its totient is φ = 19939392.

The previous prime is 72994819. The next prime is 72994837. The reversal of 72994824 is 42849927.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72994824.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33727 + ... + 35825.

It is an arithmetic number, because the mean of its divisors is an integer number (1890000).

Almost surely, 2^72994824 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 72994824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960000).

72994824 is an abundant number, since it is smaller than the sum of its proper divisors (168925176).

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

72994824 is a wasteful number, since it uses less digits than its factorization.

72994824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2134 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 72994824 is about 8543.7008374591. The cubic root of 72994824 is about 417.9240416605.

The spelling of 72994824 in words is "seventy-two million, nine hundred ninety-four thousand, eight hundred twenty-four".