74462976 has 288 divisors, whose sum is σ = 268172800. Its totient is φ = 20155392.

The previous prime is 74462963. The next prime is 74462987. The reversal of 74462976 is 67926447.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (508032) is a multiple of the sum of its prime factors (63).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3919095 + ... + 3919113.

Almost surely, 2^74462976 is an apocalyptic number.

74462976 is a gapful number since it is divisible by the number (76) 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 74462976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134086400).

74462976 is an abundant number, since it is smaller than the sum of its proper divisors (193709824).

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

74462976 is an frugal number, since it uses more digits than its factorization.

74462976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 31 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 74462976 is about 8629.1932415493. The cubic root of 74462976 is about 420.7073793655.

The spelling of 74462976 in words is "seventy-four million, four hundred sixty-two thousand, nine hundred seventy-six".