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72742452 = 223107181313
BaseRepresentation
bin1000101010111…
…11011000110100
312001212200212220
410111133120310
5122110224302
611115042340
71542205056
oct425373064
9161780786
1072742452
1138074532
12204403b0
13120bbb93
1499378d6
1565bd4bc
hex455f634

72742452 has 48 divisors (see below), whose sum is σ = 172815552. Its totient is φ = 23811840.

The previous prime is 72742451. The next prime is 72742463. The reversal of 72742452 is 25424727.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72742451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232248 + ... + 232560.

It is an arithmetic number, because the mean of its divisors is an integer number (3600324).

Almost surely, 272742452 is an apocalyptic number.

It is an amenable number.

72742452 is an abundant number, since it is smaller than the sum of its proper divisors (100073100).

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

72742452 is a wasteful number, since it uses less digits than its factorization.

72742452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 606 counting only the distinct ones).

The product of its digits is 31360, while the sum is 33.

The square root of 72742452 is about 8528.9185715423. The cubic root of 72742452 is about 417.4418425690.

The spelling of 72742452 in words is "seventy-two million, seven hundred forty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 107 181 214 313 321 362 428 543 626 642 724 939 1086 1252 1284 1878 2172 3756 19367 33491 38734 56653 58101 66982 77468 100473 113306 116202 133964 169959 200946 226612 232404 339918 401892 679836 6061871 12123742 18185613 24247484 36371226 72742452