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72238536252 = 223223163535243
BaseRepresentation
bin100001101000111000…
…0001001011000111100
320220110102112212022200
41003101300021120330
52140421031130002
653104054311500
75135065266261
oct1032160113074
9226412485280
1072238536252
11286aa852533
1212000658590
136a7314c50c
1436d4045268
151d2bde0b1c
hex10d1c0963c

72238536252 has 72 divisors (see below), whose sum is σ = 191711554944. Its totient is φ = 22891229856.

The previous prime is 72238536247. The next prime is 72238536263. The reversal of 72238536252 is 25263583227.

72238536252 is a `hidden beast` number, since 7 + 2 + 238 + 5 + 362 + 52 = 666.

It is a super-2 number, since 2×722385362522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72238536198 and 72238536207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132658 + ... + 402585.

Almost surely, 272238536252 is an apocalyptic number.

It is an amenable number.

72238536252 is an abundant number, since it is smaller than the sum of its proper divisors (119473018692).

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

72238536252 is a wasteful number, since it uses less digits than its factorization.

72238536252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535439 (or 535434 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 72238536252 in words is "seventy-two billion, two hundred thirty-eight million, five hundred thirty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 163 207 276 326 414 489 652 828 978 1467 1956 2934 3749 5868 7498 11247 14996 22494 33741 44988 67482 134964 535243 1070486 1605729 2140972 3211458 4817187 6422916 9634374 12310589 19268748 24621178 36931767 49242356 73863534 87244609 110795301 147727068 174489218 221590602 261733827 348978436 443181204 523467654 785201481 1046935308 1570402962 2006626007 3140805924 4013252014 6019878021 8026504028 12039756042 18059634063 24079512084 36119268126 72238536252