74767140 has 180 divisors, whose sum is σ = 266106204. Its totient is φ = 16990848.

The previous prime is 74767129. The next prime is 74767159. The reversal of 74767140 is 4176747.

It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 24980004 = 7056^2 + 4998^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a junction number, because it is equal to n+sod(n) for n = 74767095 and 74767104.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 432094 + ... + 432266.

Almost surely, 2^74767140 is an apocalyptic number.

74767140 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74767140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133053102).

74767140 is an abundant number, since it is smaller than the sum of its proper divisors (191339064).

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

74767140 is a wasteful number, since it uses less digits than its factorization.

74767140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 74767140 is about 8646.7994078734. The cubic root of 74767140 is about 421.2794318854.

The spelling of 74767140 in words is "seventy-four million, seven hundred sixty-seven thousand, one hundred forty".