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72245667 = 31313913327
BaseRepresentation
bin1000100111001…
…10000110100011
312000221110102110
410103212012203
5121443330132
611100250403
71535035524
oct423460643
9160843373
1072245667
113786526a
1220240a03
1311c76a20
14984884b
1565211cc
hex44e61a3

72245667 has 16 divisors (see below), whose sum is σ = 104491520. Its totient is φ = 44135712.

The previous prime is 72245647. The next prime is 72245669. The reversal of 72245667 is 76654227.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-72245667 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72245669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1243 + ... + 12084.

It is an arithmetic number, because the mean of its divisors is an integer number (6530720).

Almost surely, 272245667 is an apocalyptic number.

72245667 is a deficient number, since it is larger than the sum of its proper divisors (32245853).

72245667 is a wasteful number, since it uses less digits than its factorization.

72245667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13482.

The product of its digits is 141120, while the sum is 39.

The square root of 72245667 is about 8499.7451138255. The cubic root of 72245667 is about 416.4893829977.

The spelling of 72245667 in words is "seventy-two million, two hundred forty-five thousand, six hundred sixty-seven".

Divisors: 1 3 13 39 139 417 1807 5421 13327 39981 173251 519753 1852453 5557359 24081889 72245667