74741940 has 288 divisors, whose sum is σ = 291083520. Its totient is φ = 15769728.

The previous prime is 74741939. The next prime is 74741941. The reversal of 74741940 is 4914747.

It is an interprime number because it is at equal distance from previous prime (74741939) and next prime (74741941).

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 = 74741895 and 74741904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74741941) 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 95 ways as a sum of consecutive naturals, for example, 5749374 + ... + 5749386.

Almost surely, 2^74741940 is an apocalyptic number.

74741940 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 74741940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145541760).

74741940 is an abundant number, since it is smaller than the sum of its proper divisors (216341580).

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

74741940 is a wasteful number, since it uses less digits than its factorization.

74741940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 74741940 is about 8645.3420984944. The cubic root of 74741940 is about 421.2320963196.

The spelling of 74741940 in words is "seventy-four million, seven hundred forty-one thousand, nine hundred forty".