74248272000 has 1024 divisors, whose sum is σ = 320378572800. Its totient is φ = 16547328000.

The previous prime is 74248271971. The next prime is 74248272023. The reversal of 74248272000 is 27284247.

74248272000 is a `hidden beast` number, since 7 + 424 + 8 + 27 + 200 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130031715 + ... + 130032285.

It is an arithmetic number, because the mean of its divisors is an integer number (312869700).

Almost surely, 2^74248272000 is an apocalyptic number.

74248272000 is a gapful number since it is divisible by the number (70) 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 74248272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160189286400).

74248272000 is an abundant number, since it is smaller than the sum of its proper divisors (246130300800).

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

74248272000 is a wasteful number, since it uses less digits than its factorization.

74248272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 74248272000 in words is "seventy-four billion, two hundred forty-eight million, two hundred seventy-two thousand".