74100075 has 96 divisors (see below), whose sum is σ = 150466560. Its totient is φ = 31449600.

The previous prime is 74100041. The next prime is 74100077. The reversal of 74100075 is 57000147.

It is not a de Polignac number, because 74100075 - 2⁸ = 74099819 is a prime.

It is a super-2 number, since 2×74100075² = 10981642230011250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (74100077) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 471897 + ... + 472053.

It is an arithmetic number, because the mean of its divisors is an integer number (1567360).

Almost surely, 2^74100075 is an apocalyptic number.

74100075 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

74100075 is an abundant number, since it is smaller than the sum of its proper divisors (76366485).

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

74100075 is a wasteful number, since it uses less digits than its factorization.

74100075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 74100075 is about 8608.1400430058. The cubic root of 74100075 is about 420.0228162208.

The spelling of 74100075 in words is "seventy-four million, one hundred thousand, seventy-five".