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73872 = 243519
BaseRepresentation
bin10010000010010000
310202100000
4102002100
54330442
61330000
7425241
oct220220
9122300
1073872
1150557
1236900
1327816
141ccc8
1516d4c
hex12090

73872 has 60 divisors (see below), whose sum is σ = 225680. Its totient is φ = 23328.

The previous prime is 73867. The next prime is 73877. The reversal of 73872 is 27837.

It is an interprime number because it is at equal distance from previous prime (73867) and next prime (73877).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2352) is a multiple of the sum of its prime divisors (24).

It is not an unprimeable number, because it can be changed into a prime (73877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3879 + ... + 3897.

273872 is an apocalyptic number.

73872 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 73872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112840).

73872 is an abundant number, since it is smaller than the sum of its proper divisors (151808).

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

73872 is a wasteful number, since it uses less digits than its factorization.

73872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 24 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 73872 is about 271.7940396697. The cubic root of 73872 is about 41.9591439431.

The spelling of 73872 in words is "seventy-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 912 972 1026 1296 1368 1539 1944 2052 2736 3078 3888 4104 4617 6156 8208 9234 12312 18468 24624 36936 73872