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72143424 = 2632251499
BaseRepresentation
bin1000100110011…
…01001001000000
312000202021011200
410103031021000
5121432042144
611054141200
71534131453
oct423151100
9160667150
1072143424
11377a5471
12201b1800
1311c3c322
14981d49a
156500c69
hex44cd240

72143424 has 84 divisors (see below), whose sum is σ = 208026000. Its totient is φ = 23904000.

The previous prime is 72143413. The next prime is 72143431. The reversal of 72143424 is 42434127.

Its product of digits (5376) is a multiple of the sum of its prime factors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144327 + ... + 144825.

It is an arithmetic number, because the mean of its divisors is an integer number (2476500).

Almost surely, 272143424 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 72143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104013000).

72143424 is an abundant number, since it is smaller than the sum of its proper divisors (135882576).

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

72143424 is a wasteful number, since it uses less digits than its factorization.

72143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 755 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 72143424 is about 8493.7285099066. The cubic root of 72143424 is about 416.2928165247.

The spelling of 72143424 in words is "seventy-two million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 251 288 499 502 576 753 998 1004 1497 1506 1996 2008 2259 2994 3012 3992 4016 4491 4518 5988 6024 7984 8032 8982 9036 11976 12048 15968 16064 17964 18072 23952 24096 31936 35928 36144 47904 48192 71856 72288 95808 125249 143712 144576 250498 287424 375747 500996 751494 1001992 1127241 1502988 2003984 2254482 3005976 4007968 4508964 6011952 8015936 9017928 12023904 18035856 24047808 36071712 72143424