74298000 has 320 divisors, whose sum is σ = 287838720. Its totient is φ = 16128000.

The previous prime is 74297989. The next prime is 74298011. The reversal of 74298000 is 89247.

It is an interprime number because it is at equal distance from previous prime (74297989) and next prime (74298011).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1217970 + ... + 1218030.

It is an arithmetic number, because the mean of its divisors is an integer number (899496).

Almost surely, 2^74298000 is an apocalyptic number.

74298000 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 74298000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143919360).

74298000 is an abundant number, since it is smaller than the sum of its proper divisors (213540720).

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

74298000 is a wasteful number, since it uses less digits than its factorization.

74298000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 74298000 is about 8619.6287623076. The cubic root of 74298000 is about 420.3964510566.

The spelling of 74298000 in words is "seventy-four million, two hundred ninety-eight thousand".