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74790072 = 233272172943
BaseRepresentation
bin1000111010100…
…11010010111000
312012201201200200
410131103102320
5123121240242
611231002200
71565463600
oct435232270
9165651620
1074790072
1139242985
1221069360
1312657ba6
149d0bc00
15687504c
hex47534b8

74790072 has 288 divisors, whose sum is σ = 264092400. Its totient is φ = 18966528.

The previous prime is 74790047. The next prime is 74790083. The reversal of 74790072 is 27009747.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1739283 + ... + 1739325.

Almost surely, 274790072 is an apocalyptic number.

74790072 is a gapful number since it is divisible by the number (72) 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 74790072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132046200).

74790072 is an abundant number, since it is smaller than the sum of its proper divisors (189302328).

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

74790072 is a wasteful number, since it uses less digits than its factorization.

74790072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 74790072 is about 8648.1253459926. The cubic root of 74790072 is about 421.3224980078.

The spelling of 74790072 in words is "seventy-four million, seven hundred ninety thousand, seventy-two".