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72461377 is a prime number
BaseRepresentation
bin1000101000110…
…10110001000001
312001100102022201
410110122301001
5122022231002
611105033201
71536624442
oct424326101
9161312281
1072461377
11379a233a
1220325801
1312020c71
1498a32c9
156565087
hex451ac41

72461377 has 2 divisors, whose sum is σ = 72461378. Its totient is φ = 72461376.

The previous prime is 72461329. The next prime is 72461399. The reversal of 72461377 is 77316427.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50922496 + 21538881 = 7136^2 + 4641^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72461377 is a prime.

It is a super-2 number, since 2×724613772 = 10501302313472258, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72461317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36230688 + 36230689.

It is an arithmetic number, because the mean of its divisors is an integer number (36230689).

Almost surely, 272461377 is an apocalyptic number.

It is an amenable number.

72461377 is a deficient number, since it is larger than the sum of its proper divisors (1).

72461377 is an equidigital number, since it uses as much as digits as its factorization.

72461377 is an evil number, because the sum of its binary digits is even.

The product of its digits is 49392, while the sum is 37.

The square root of 72461377 is about 8512.4248601676. The cubic root of 72461377 is about 416.9034869910.

The spelling of 72461377 in words is "seventy-two million, four hundred sixty-one thousand, three hundred seventy-seven".