74076291072 has 448 divisors, whose sum is σ = 254428889760. Its totient is φ = 21116878848.

The previous prime is 74076291071. The next prime is 74076291073. The reversal of 74076291072 is 27019267047.

74076291072 is a `hidden beast` number, since 7 + 4 + 0 + 7 + 629 + 10 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (74076291071) and next prime (74076291073).

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (74076291071) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 167214883 + ... + 167215325.

Almost surely, 2^74076291072 is an apocalyptic number.

74076291072 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 74076291072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127214444880).

74076291072 is an abundant number, since it is smaller than the sum of its proper divisors (180352598688).

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

74076291072 is an frugal number, since it uses more digits than its factorization.

74076291072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 74076291072 in words is "seventy-four billion, seventy-six million, two hundred ninety-one thousand, seventy-two".