Search a number
-
+
72900688 = 247683953
BaseRepresentation
bin1000101100001…
…10000001010000
312002011201221111
410112012001100
5122130310223
611122303104
71543434310
oct426060120
9162151844
1072900688
1138172403
12204b7a94
1312145c03
149979440
15660030d
hex4586050

72900688 has 40 divisors (see below), whose sum is σ = 161828928. Its totient is φ = 31164672.

The previous prime is 72900683. The next prime is 72900703. The reversal of 72900688 is 88600927.

It is a self number, because there is not a number n which added to its sum of digits gives 72900688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72900683) 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, 76020 + ... + 76972.

Almost surely, 272900688 is an apocalyptic number.

It is an amenable number.

72900688 is an abundant number, since it is smaller than the sum of its proper divisors (88928240).

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

72900688 is a wasteful number, since it uses less digits than its factorization.

72900688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 72900688 is about 8538.1899721194. The cubic root of 72900688 is about 417.7443091828.

The spelling of 72900688 in words is "seventy-two million, nine hundred thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 683 953 1366 1906 2732 3812 4781 5464 6671 7624 9562 10928 13342 15248 19124 26684 38248 53368 76496 106736 650899 1301798 2603596 4556293 5207192 9112586 10414384 18225172 36450344 72900688