74850048 has 432 divisors, whose sum is σ = 293600160. Its totient is φ = 18579456.

The previous prime is 74850047. The next prime is 74850049. The reversal of 74850048 is 84005847.

It is an interprime number because it is at equal distance from previous prime (74850047) and next prime (74850049).

It is a tau number, because it is divible by the number of its divisors (432).

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 = 74849994 and 74850021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74850043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4402936 + ... + 4402952.

It is an arithmetic number, because the mean of its divisors is an integer number (679630).

Almost surely, 2^74850048 is an apocalyptic number.

74850048 is a gapful number since it is divisible by the number (78) 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 74850048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146800080).

74850048 is an abundant number, since it is smaller than the sum of its proper divisors (218750112).

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

74850048 is a wasteful number, since it uses less digits than its factorization.

74850048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 74850048 is about 8651.5922234003. The cubic root of 74850048 is about 421.4350908774.

It can be divided in two parts, 7 and 4850048, that added together give a triangular number (4850055 = T₃₁₁₄).

The spelling of 74850048 in words is "seventy-four million, eight hundred fifty thousand, forty-eight".