74667390190272 has 448 divisors, whose sum is σ = 247977862387200. Its totient is φ = 21823603200000.

The previous prime is 74667390190223. The next prime is 74667390190297. The reversal of 74667390190272 is 27209109376647.

74667390190272 is a `hidden beast` number, since 7 + 466 + 7 + 3 + 90 + 19 + 0 + 2 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 535176522 + ... + 535316022.

Almost surely, 2^{74667390190272} is an apocalyptic number.

74667390190272 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 74667390190272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123988931193600).

74667390190272 is an abundant number, since it is smaller than the sum of its proper divisors (173310472196928).

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

74667390190272 is a wasteful number, since it uses less digits than its factorization.

74667390190272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140533 (or 140517 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 74667390190272 in words is "seventy-four trillion, six hundred sixty-seven billion, three hundred ninety million, one hundred ninety thousand, two hundred seventy-two".