72924240 has 80 divisors (see below), whose sum is σ = 231610176. Its totient is φ = 18969600.

The previous prime is 72924239. The next prime is 72924287. The reversal of 72924240 is 4242927.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72924198 and 72924207.

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 15 ways as a sum of consecutive naturals, for example, 6135 + ... + 13545.

Almost surely, 2^72924240 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 72924240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115805088).

72924240 is an abundant number, since it is smaller than the sum of its proper divisors (158685936).

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

72924240 is a wasteful number, since it uses less digits than its factorization.

72924240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7468 (or 7462 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 72924240 is about 8539.5690757789. The cubic root of 72924240 is about 417.7892911754.

The spelling of 72924240 in words is "seventy-two million, nine hundred twenty-four thousand, two hundred forty".