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72770120 = 2353749169
BaseRepresentation
bin1000101011001…
…10001001001000
312001221002211122
410111212021020
5122112120440
611115414412
71542351533
oct425461110
9161832748
1072770120
11380932a5
1220454408
13120cb657
149943a1a
1565c67b5
hex4566248

72770120 has 32 divisors (see below), whose sum is σ = 168161400. Its totient is φ = 28320768.

The previous prime is 72770119. The next prime is 72770141. The reversal of 72770120 is 2107727.

It can be written as a sum of positive squares in 4 ways, for example, as 71334916 + 1435204 = 8446^2 + 1198^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72770120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23105 + ... + 26064.

Almost surely, 272770120 is an apocalyptic number.

It is an amenable number.

72770120 is an abundant number, since it is smaller than the sum of its proper divisors (95391280).

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

72770120 is a wasteful number, since it uses less digits than its factorization.

72770120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49217 (or 49213 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 26.

The square root of 72770120 is about 8530.5404283668. The cubic root of 72770120 is about 417.4947613097.

Adding to 72770120 its reverse (2107727), we get a palindrome (74877847).

The spelling of 72770120 in words is "seventy-two million, seven hundred seventy thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 49169 98338 196676 245845 393352 491690 983380 1819253 1966760 3638506 7277012 9096265 14554024 18192530 36385060 72770120