74857120 has 192 divisors, whose sum is σ = 211468320. Its totient is φ = 24772608.

The previous prime is 74857087. The next prime is 74857121. The reversal of 74857120 is 2175847.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 7420176 + 67436944 = 2724^2 + 8212^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (74857121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1025404 + ... + 1025476.

Almost surely, 2^74857120 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 74857120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105734160).

74857120 is an abundant number, since it is smaller than the sum of its proper divisors (136611200).

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

74857120 is a wasteful number, since it uses less digits than its factorization.

74857120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 74857120 is about 8652.0009246417. Note that the first 3 decimals coincide. The cubic root of 74857120 is about 421.4483631695.

The spelling of 74857120 in words is "seventy-four million, eight hundred fifty-seven thousand, one hundred twenty".