74127360 has 192 divisors, whose sum is σ = 251596800. Its totient is φ = 18579456.

The previous prime is 74127343. The next prime is 74127371. The reversal of 74127360 is 6372147.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583617 + ... + 583743.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 2^74127360 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 74127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

74127360 is an abundant number, since it is smaller than the sum of its proper divisors (177469440).

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

74127360 is a wasteful number, since it uses less digits than its factorization.

74127360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 74127360 is about 8609.7247342758. The cubic root of 74127360 is about 420.0743632500.

The spelling of 74127360 in words is "seventy-four million, one hundred twenty-seven thousand, three hundred sixty".