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72766051 = 263337821
BaseRepresentation
bin1000101011001…
…01001001100011
312001220220020221
410111211021203
5122112003201
611115343511
71542333631
oct425451143
9161826227
1072766051
1138090236
1220451b97
13120c9847
149942351
1565c54a1
hex4565263

72766051 has 8 divisors (see below), whose sum is σ = 73348704. Its totient is φ = 72186240.

The previous prime is 72766039. The next prime is 72766063. The reversal of 72766051 is 15066727.

It is an interprime number because it is at equal distance from previous prime (72766039) and next prime (72766063).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72766051 - 217 = 72634979 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72765998 and 72766016.

It is not an unprimeable number, because it can be changed into a prime (72766081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88221 + ... + 89041.

It is an arithmetic number, because the mean of its divisors is an integer number (9168588).

It is the magic constant of a 526 × 526 magic square.

Almost surely, 272766051 is an apocalyptic number.

72766051 is a deficient number, since it is larger than the sum of its proper divisors (582653).

72766051 is a wasteful number, since it uses less digits than its factorization.

72766051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421.

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 72766051 is about 8530.3019290058. The cubic root of 72766051 is about 417.4869796458.

The spelling of 72766051 in words is "seventy-two million, seven hundred sixty-six thousand, fifty-one".

Divisors: 1 263 337 821 88631 215923 276677 72766051