74067309225 has 120 divisors (see below), whose sum is σ = 168859817280. Its totient is φ = 31254698880.

The previous prime is 74067309191. The next prime is 74067309229. The reversal of 74067309225 is 52290376047.

It is not a de Polignac number, because 74067309225 - 2⁶ = 74067309161 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (74067309229) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16695 + ... + 385244.

It is an arithmetic number, because the mean of its divisors is an integer number (1407165144).

Almost surely, 2^74067309225 is an apocalyptic number.

74067309225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

74067309225 is an abundant number, since it is smaller than the sum of its proper divisors (94792508055).

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

74067309225 is a wasteful number, since it uses less digits than its factorization.

74067309225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401981 (or 401967 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 74067309225 in words is "seventy-four billion, sixty-seven million, three hundred nine thousand, two hundred twenty-five".