Search a number
-
+
72475734240 = 2532571323139173
BaseRepresentation
bin100001101111111100…
…0111111000011100000
320221001221212202210100
41003133320333003200
52141412241443430
653143410302400
75144005401510
oct1033770770340
9227057782710
1072475734240
1128811731928
1212067b87a00
136ab032bb60
14371774b840
151d42b46960
hex10dfe3f0e0

72475734240 has 1152 divisors, whose sum is σ = 321767147520. Its totient is φ = 14437564416.

The previous prime is 72475734193. The next prime is 72475734257. The reversal of 72475734240 is 4243757427.

72475734240 is a `hidden beast` number, since 72 + 4 + 7 + 573 + 4 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 418934794 + ... + 418934966.

It is an arithmetic number, because the mean of its divisors is an integer number (279311760).

Almost surely, 272475734240 is an apocalyptic number.

72475734240 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 72475734240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160883573760).

72475734240 is an abundant number, since it is smaller than the sum of its proper divisors (249291413280).

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

72475734240 is a wasteful number, since it uses less digits than its factorization.

72475734240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 45.

The spelling of 72475734240 in words is "seventy-two billion, four hundred seventy-five million, seven hundred thirty-four thousand, two hundred forty".