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74416072 = 2317975641
BaseRepresentation
bin1000110111101…
…11111111001000
312012000201122211
410123313333020
5123022303242
611214554504
71562345323
oct433677710
9165021584
1074416072
1139007995
1220b08a34
13125568a3
149c517ba
1567ee317
hex46f7fc8

74416072 has 32 divisors (see below), whose sum is σ = 149287320. Its totient is φ = 34652160.

The previous prime is 74416061. The next prime is 74416073. The reversal of 74416072 is 27061447.

It can be written as a sum of positive squares in 4 ways, for example, as 74063236 + 352836 = 8606^2 + 594^2 .

It is not an unprimeable number, because it can be changed into a prime (74416073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10372 + ... + 16012.

Almost surely, 274416072 is an apocalyptic number.

It is an amenable number.

74416072 is an abundant number, since it is smaller than the sum of its proper divisors (74871248).

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

74416072 is a wasteful number, since it uses less digits than its factorization.

74416072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761 (or 5757 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 74416072 is about 8626.4750622720. The cubic root of 74416072 is about 420.6190267163.

The spelling of 74416072 in words is "seventy-four million, four hundred sixteen thousand, seventy-two".

Divisors: 1 2 4 8 17 34 68 97 136 194 388 776 1649 3298 5641 6596 11282 13192 22564 45128 95897 191794 383588 547177 767176 1094354 2188708 4377416 9302009 18604018 37208036 74416072