73749024 has 72 divisors (see below), whose sum is σ = 211144752. Its totient is φ = 24416640.

The previous prime is 73749019. The next prime is 73749041. The reversal of 73749024 is 42094737.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 73749024.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46159 + ... + 47729.

It is an arithmetic number, because the mean of its divisors is an integer number (2932566).

Almost surely, 2^73749024 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 73749024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105572376).

73749024 is an abundant number, since it is smaller than the sum of its proper divisors (137395728).

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

73749024 is a wasteful number, since it uses less digits than its factorization.

73749024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 73749024 is about 8587.7251935539. The cubic root of 73749024 is about 419.3584763942.

The spelling of 73749024 in words is "seventy-three million, seven hundred forty-nine thousand, twenty-four".