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72341696 = 2671131429
BaseRepresentation
bin1000100111111…
…01100011000000
312001010100011002
410103331203000
5122004413241
611102311132
71535615510
oct423754300
9161110132
1072341696
1137920429
12202884a8
1311cab64b
149871840
15653e89b
hex44fd8c0

72341696 has 56 divisors (see below), whose sum is σ = 165628320. Its totient is φ = 30707712.

The previous prime is 72341657. The next prime is 72341699. The reversal of 72341696 is 69614327.

It is a tau number, because it is divible by the number of its divisors (56).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (72341699) 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, 49910 + ... + 51338.

Almost surely, 272341696 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 72341696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82814160).

72341696 is an abundant number, since it is smaller than the sum of its proper divisors (93286624).

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

72341696 is a wasteful number, since it uses less digits than its factorization.

72341696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1551 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 72341696 is about 8505.3921720283. The cubic root of 72341696 is about 416.6738339745.

It can be divided in two parts, 72341 and 696, that added together give a palindrome (73037).

The spelling of 72341696 in words is "seventy-two million, three hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 224 226 448 452 791 904 1429 1582 1808 2858 3164 3616 5716 6328 7232 10003 11432 12656 20006 22864 25312 40012 45728 50624 80024 91456 160048 161477 320096 322954 640192 645908 1130339 1291816 2260678 2583632 4521356 5167264 9042712 10334528 18085424 36170848 72341696