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72708226992 = 2434377572003
BaseRepresentation
bin100001110110110111…
…1110111111110110000
320221200011100121220000
41003231233313332300
52142401301230432
653222433350000
75152530506112
oct1035557677660
9227604317800
1072708226992
11289209980a5
1212111a08300
136b1955192b
14373a58b3b2
151d5826d57c
hex10edbf7fb0

72708226992 has 200 divisors, whose sum is σ = 216519783216. Its totient is φ = 23538138624.

The previous prime is 72708226979. The next prime is 72708226999. The reversal of 72708226992 is 29962280727.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (72708226999) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36298663 + ... + 36300665.

Almost surely, 272708226992 is an apocalyptic number.

72708226992 is a gapful number since it is divisible by the number (72) 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 72708226992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108259891608).

72708226992 is an abundant number, since it is smaller than the sum of its proper divisors (143811556224).

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

72708226992 is a wasteful number, since it uses less digits than its factorization.

72708226992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 72708226992 in words is "seventy-two billion, seven hundred eight million, two hundred twenty-six thousand, nine hundred ninety-two".