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72440004000 = 2535371366337
BaseRepresentation
bin100001101110111000…
…0101011110110100000
320220222110122111010010
41003131300223312200
52141324120112000
653140052404520
75143062605640
oct1033560536640
9226873574103
1072440004000
11287a3548201
1212058016740
136aa5acb8c0
143712aca520
151d3e939d50
hex10ddc2bda0

72440004000 has 384 divisors, whose sum is σ = 292082499072. Its totient is φ = 15283814400.

The previous prime is 72440003971. The next prime is 72440004023. The reversal of 72440004000 is 40004427.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1058832 + ... + 1125168.

It is an arithmetic number, because the mean of its divisors is an integer number (760631508).

Almost surely, 272440004000 is an apocalyptic number.

72440004000 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 72440004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146041249536).

72440004000 is an abundant number, since it is smaller than the sum of its proper divisors (219642495072).

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

72440004000 is a wasteful number, since it uses less digits than its factorization.

72440004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66385 (or 66367 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

Adding to 72440004000 its reverse (40004427), we get a palindrome (72480008427).

The spelling of 72440004000 in words is "seventy-two billion, four hundred forty million, four thousand".