72001824 has 24 divisors (see below), whose sum is σ = 189005040. Its totient is φ = 24000576.

The previous prime is 72001807. The next prime is 72001837. The reversal of 72001824 is 42810027.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 72001794 and 72001803.

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, 374914 + ... + 375105.

It is an arithmetic number, because the mean of its divisors is an integer number (7875210).

Almost surely, 2^72001824 is an apocalyptic number.

It is an amenable number.

72001824 is an abundant number, since it is smaller than the sum of its proper divisors (117003216).

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

72001824 is a wasteful number, since it uses less digits than its factorization.

72001824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750032 (or 750024 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 72001824 is about 8485.3888537886. The cubic root of 72001824 is about 416.0202776112.

The spelling of 72001824 in words is "seventy-two million, one thousand, eight hundred twenty-four".