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72434196 = 22331275281
BaseRepresentation
bin1000101000101…
…00001000010100
312001022001001000
410110110020110
5122020343241
611104303300
71536452262
oct424241024
9161261030
1072434196
113798397a
1220311b30
1312011793
149897432
15655beb6
hex4514214

72434196 has 48 divisors (see below), whose sum is σ = 189306880. Its totient is φ = 23950080.

The previous prime is 72434189. The next prime is 72434207. The reversal of 72434196 is 69143427.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72434196.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11076 + ... + 16356.

Almost surely, 272434196 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 72434196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94653440).

72434196 is an abundant number, since it is smaller than the sum of its proper divisors (116872684).

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

72434196 is a wasteful number, since it uses less digits than its factorization.

72434196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5421 (or 5413 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 72434196 is about 8510.8281618183. The cubic root of 72434196 is about 416.8513522247.

The spelling of 72434196 in words is "seventy-two million, four hundred thirty-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 127 254 381 508 762 1143 1524 2286 3429 4572 5281 6858 10562 13716 15843 21124 31686 47529 63372 95058 142587 190116 285174 570348 670687 1341374 2012061 2682748 4024122 6036183 8048244 12072366 18108549 24144732 36217098 72434196