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72973848 = 23323132199
BaseRepresentation
bin1000101100101…
…11111000011000
312002022110022010
410112113320120
5122140130343
611124025520
71544160513
oct426277030
9162273263
1072973848
1138212372
12205322a0
13121702bc
149997d7a
156616d33
hex4597e18

72973848 has 32 divisors (see below), whose sum is σ = 190368000. Its totient is φ = 23266848.

The previous prime is 72973847. The next prime is 72973853. The reversal of 72973848 is 84837927.

It is a junction number, because it is equal to n+sod(n) for n = 72973797 and 72973806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72973841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65548 + ... + 66651.

It is an arithmetic number, because the mean of its divisors is an integer number (5949000).

Almost surely, 272973848 is an apocalyptic number.

It is an amenable number.

72973848 is an abundant number, since it is smaller than the sum of its proper divisors (117394152).

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

72973848 is a wasteful number, since it uses less digits than its factorization.

72973848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132231 (or 132227 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 72973848 is about 8542.4731781844. The cubic root of 72973848 is about 417.8840058787.

The spelling of 72973848 in words is "seventy-two million, nine hundred seventy-three thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 132199 264398 396597 528796 793194 1057592 1586388 3040577 3172776 6081154 9121731 12162308 18243462 24324616 36486924 72973848