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76725 = 32521131
BaseRepresentation
bin10010101110110101
310220020200
4102232311
54423400
61351113
7436455
oct225665
9126220
1076725
1152710
1238499
1328bcc
141dd65
1517b00
hex12bb5

76725 has 36 divisors (see below), whose sum is σ = 154752. Its totient is φ = 36000.

The previous prime is 76717. The next prime is 76733. The reversal of 76725 is 52767.

It is an interprime number because it is at equal distance from previous prime (76717) and next prime (76733).

It is not a de Polignac number, because 76725 - 23 = 76717 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is the 40-th Perrin number.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2460 + ... + 2490.

276725 is an apocalyptic number.

76725 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

76725 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77376).

76725 is a wasteful number, since it uses less digits than its factorization.

76725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 50 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 76725 is about 276.9927796893. The cubic root of 76725 is about 42.4925015606.

The spelling of 76725 in words is "seventy-six thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 31 33 45 55 75 93 99 155 165 225 275 279 341 465 495 775 825 1023 1395 1705 2325 2475 3069 5115 6975 8525 15345 25575 76725