74342072000 has 224 divisors, whose sum is σ = 219561338880. Its totient is φ = 24380083200.

The previous prime is 74342071997. The next prime is 74342072081. The reversal of 74342072000 is 27024347.

It is a tau number, because it is divible by the number of its divisors (224).

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, 1259141 + ... + 1316859.

Almost surely, 2^74342072000 is an apocalyptic number.

74342072000 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 74342072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109780669440).

74342072000 is an abundant number, since it is smaller than the sum of its proper divisors (145219266880).

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

74342072000 is a wasteful number, since it uses less digits than its factorization.

74342072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57776 (or 57756 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 29.

Adding to 74342072000 its reverse (27024347), we get a palindrome (74369096347).

The spelling of 74342072000 in words is "seventy-four billion, three hundred forty-two million, seventy-two thousand".