73953760 has 48 divisors (see below), whose sum is σ = 175930272. Its totient is φ = 29376000.

The previous prime is 73953743. The next prime is 73953793. The reversal of 73953760 is 6735937.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 7 ways as a sum of consecutive naturals, for example, 22630 + ... + 25690.

It is an arithmetic number, because the mean of its divisors is an integer number (3665214).

Almost surely, 2^73953760 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 73953760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87965136).

73953760 is an abundant number, since it is smaller than the sum of its proper divisors (101976512).

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

73953760 is a wasteful number, since it uses less digits than its factorization.

73953760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 40.

The square root of 73953760 is about 8599.6372016498. The cubic root of 73953760 is about 419.7461807291.

The spelling of 73953760 in words is "seventy-three million, nine hundred fifty-three thousand, seven hundred sixty".