Search a number
-
+
72397451280 = 243571127714143
BaseRepresentation
bin100001101101100111…
…0010111000000010000
320220212111120120202110
41003123032113000100
52141232221420110
653131532345320
75142035116350
oct1033316270020
9226774516673
1072397451280
1128781523770
1212045915240
136a9a05018b
14370b1b0b60
151d3ad31a20
hex10db397010

72397451280 has 320 divisors, whose sum is σ = 280841453568. Its totient is φ = 14988257280.

The previous prime is 72397451263. The next prime is 72397451299. The reversal of 72397451280 is 8215479327.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5111889 + ... + 5126031.

Almost surely, 272397451280 is an apocalyptic number.

72397451280 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72397451280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140420726784).

72397451280 is an abundant number, since it is smaller than the sum of its proper divisors (208444002288).

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

72397451280 is a wasteful number, since it uses less digits than its factorization.

72397451280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14454 (or 14448 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 72397451280 in words is "seventy-two billion, three hundred ninety-seven million, four hundred fifty-one thousand, two hundred eighty".