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72193996 = 22719971399
BaseRepresentation
bin1000100110110…
…01011111001100
312000211211112201
410103121133030
5121440201441
611055211244
71534432060
oct423313714
9160754481
1072193996
113782a466
1220216b24
1311c59354
149833aa0
156510c31
hex44d97cc

72193996 has 48 divisors (see below), whose sum is σ = 153664000. Its totient is φ = 28988928.

The previous prime is 72193973. The next prime is 72194027. The reversal of 72193996 is 69939127.

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, 50905 + ... + 52303.

Almost surely, 272193996 is an apocalyptic number.

72193996 is a gapful number since it is divisible by the number (76) 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 72193996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76832000).

72193996 is an abundant number, since it is smaller than the sum of its proper divisors (81470004).

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

72193996 is a wasteful number, since it uses less digits than its factorization.

72193996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1524 counting only the distinct ones).

The product of its digits is 183708, while the sum is 46.

The square root of 72193996 is about 8496.7050084136. The cubic root of 72193996 is about 416.3900665201.

The spelling of 72193996 in words is "seventy-two million, one hundred ninety-three thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 19 28 38 76 97 133 194 266 388 532 679 1358 1399 1843 2716 2798 3686 5596 7372 9793 12901 19586 25802 26581 39172 51604 53162 106324 135703 186067 271406 372134 542812 744268 949921 1899842 2578357 3799684 5156714 10313428 18048499 36096998 72193996