74763072 has 168 divisors, whose sum is σ = 228234240. Its totient is φ = 23362560.

The previous prime is 74762999. The next prime is 74763083. The reversal of 74763072 is 27036747.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 946329 + ... + 946407.

Almost surely, 2^74763072 is an apocalyptic number.

74763072 is a gapful number since it is divisible by the number (72) 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 74763072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114117120).

74763072 is an abundant number, since it is smaller than the sum of its proper divisors (153471168).

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

74763072 is a wasteful number, since it uses less digits than its factorization.

74763072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 74763072 is about 8646.5641731268. The cubic root of 74763072 is about 421.2717912926.

The spelling of 74763072 in words is "seventy-four million, seven hundred sixty-three thousand, seventy-two".