74273760 has 240 divisors, whose sum is σ = 286502832. Its totient is φ = 17971200.

The previous prime is 74273747. The next prime is 74273761. The reversal of 74273760 is 6737247.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74273761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142300 + ... + 142820.

Almost surely, 2^74273760 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 74273760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143251416).

74273760 is an abundant number, since it is smaller than the sum of its proper divisors (212229072).

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

74273760 is a wasteful number, since it uses less digits than its factorization.

74273760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 74273760 is about 8618.2225545643. Note that the first 3 decimals coincide. The cubic root of 74273760 is about 420.3507274463.

The spelling of 74273760 in words is "seventy-four million, two hundred seventy-three thousand, seven hundred sixty".