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72157371 = 311132371103
BaseRepresentation
bin1000100110100…
…00100010111011
312000202222022020
410103100202323
5121433013441
611054325523
71534220226
oct423204273
9160688266
1072157371
11378049a0
12201b98a3
1311c45790
1498245bd
156504e66
hex44d08bb

72157371 has 64 divisors (see below), whose sum is σ = 120766464. Its totient is φ = 37699200.

The previous prime is 72157339. The next prime is 72157387. The reversal of 72157371 is 17375127.

It is not a de Polignac number, because 72157371 - 25 = 72157339 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (72157301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 700506 + ... + 700608.

It is an arithmetic number, because the mean of its divisors is an integer number (1886976).

Almost surely, 272157371 is an apocalyptic number.

72157371 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

72157371 is a deficient number, since it is larger than the sum of its proper divisors (48609093).

72157371 is a wasteful number, since it uses less digits than its factorization.

72157371 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224.

The product of its digits is 10290, while the sum is 33.

The square root of 72157371 is about 8494.5494877598. The cubic root of 72157371 is about 416.3196411539.

The spelling of 72157371 in words is "seventy-two million, one hundred fifty-seven thousand, three hundred seventy-one".

Divisors: 1 3 11 13 23 33 39 69 71 103 143 213 253 299 309 429 759 781 897 923 1133 1339 1633 2343 2369 2769 3289 3399 4017 4899 7107 7313 9867 10153 14729 17963 21229 21939 26059 30459 30797 44187 53889 63687 78177 80443 92391 95069 168199 233519 241329 285207 338767 504597 700557 1016301 1045759 1850189 2186587 3137277 5550567 6559761 24052457 72157371