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76122072 = 23331327109
BaseRepresentation
bin1001000100110…
…00011111011000
312022020101212000
410202120133120
5123441401242
611315321000
71613012145
oct442303730
9168211760
1076122072
1139a72704
12215b0160
1312a03260
14a1773cc
156a39a4c
hex48987d8

76122072 has 64 divisors (see below), whose sum is σ = 227724000. Its totient is φ = 23421312.

The previous prime is 76122043. The next prime is 76122089. The reversal of 76122072 is 27022167.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 10747 + ... + 16362.

Almost surely, 276122072 is an apocalyptic number.

76122072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

76122072 is an abundant number, since it is smaller than the sum of its proper divisors (151601928).

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

76122072 is a wasteful number, since it uses less digits than its factorization.

76122072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27137 (or 27127 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 76122072 is about 8724.7963873090. The cubic root of 76122072 is about 423.8090245919.

The spelling of 76122072 in words is "seventy-six million, one hundred twenty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 27109 54218 81327 108436 162654 216872 243981 325308 352417 487962 650616 704834 731943 975924 1057251 1409668 1463886 1951848 2114502 2819336 2927772 3171753 4229004 5855544 6343506 8458008 9515259 12687012 19030518 25374024 38061036 76122072