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74364672 = 283372617
BaseRepresentation
bin1000110111010…
…11011100000000
312011221010011010
410123223130000
5123014132142
611213520520
71562042424
oct433533400
9164833133
1074364672
1138a82308
1220aa3140
1312539385
149c3ab84
1567dde9c
hex46eb700

74364672 has 72 divisors (see below), whose sum is σ = 203345296. Its totient is φ = 24109056.

The previous prime is 74364649. The next prime is 74364677. The reversal of 74364672 is 27646347.

It is a self number, because there is not a number n which added to its sum of digits gives 74364672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74364677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27108 + ... + 29724.

Almost surely, 274364672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101672648).

74364672 is an abundant number, since it is smaller than the sum of its proper divisors (128980624).

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

74364672 is a wasteful number, since it uses less digits than its factorization.

74364672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2659 counting only the distinct ones).

The product of its digits is 169344, while the sum is 39.

The square root of 74364672 is about 8623.4953470156. The cubic root of 74364672 is about 420.5221623473.

The spelling of 74364672 in words is "seventy-four million, three hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1776 2368 2617 3552 4736 5234 7104 7851 9472 10468 14208 15702 20936 28416 31404 41872 62808 83744 96829 125616 167488 193658 251232 290487 334976 387316 502464 580974 669952 774632 1004928 1161948 1549264 2009856 2323896 3098528 4647792 6197056 9295584 12394112 18591168 24788224 37182336 74364672