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72622165225 = 52538972
BaseRepresentation
bin100001110100010011…
…1100100110011101001
320221110011102020100011
41003220213210303221
52142212233241400
653210121011521
75150434135141
oct1035047446351
9227404366304
1072622165225
1128887356675
12120a9023ba1
136b0477b3cc
14372cd87921
151d5091d8ba
hex10e89e4ce9

72622165225 has 9 divisors (see below), whose sum is σ = 90053155717. Its totient is φ = 58096654240.

The previous prime is 72622165219. The next prime is 72622165247. The reversal of 72622165225 is 52256122627.

It is a happy number.

The square root of 72622165225 is 269485.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 903182809 + 71718982416 = 30053^2 + 267804^2 .

It is not a de Polignac number, because 72622165225 - 211 = 72622163177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1320477 + ... + 1374373.

Almost surely, 272622165225 is an apocalyptic number.

72622165225 is the 269485-th square number.

72622165225 is the 134743-rd centered octagonal number.

It is an amenable number.

72622165225 is a deficient number, since it is larger than the sum of its proper divisors (17430990492).

72622165225 is an frugal number, since it uses more digits than its factorization.

72622165225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107804 (or 53902 counting only the distinct ones).

The product of its digits is 201600, while the sum is 40.

The spelling of 72622165225 in words is "seventy-two billion, six hundred twenty-two million, one hundred sixty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 53897 269485 1347425 2904886609 14524433045 72622165225