74921760 has 288 divisors, whose sum is σ = 277385472. Its totient is φ = 19077120.

The previous prime is 74921753. The next prime is 74921767. The reversal of 74921760 is 6712947.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (74921753) and next prime (74921767).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×74921760² = 11226540242995200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (74921767) 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 47 ways as a sum of consecutive naturals, for example, 1594057 + ... + 1594103.

It is an arithmetic number, because the mean of its divisors is an integer number (963144).

Almost surely, 2^74921760 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 74921760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138692736).

74921760 is an abundant number, since it is smaller than the sum of its proper divisors (202463712).

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

74921760 is a wasteful number, since it uses less digits than its factorization.

74921760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 74921760 is about 8655.7356706406. The cubic root of 74921760 is about 421.5696368019.

The spelling of 74921760 in words is "seventy-four million, nine hundred twenty-one thousand, seven hundred sixty".