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72973120 = 2651120731
BaseRepresentation
bin1000101100101…
…11101101000000
312002022102022011
410112113231000
5122140114440
611124022304
71544155423
oct426275500
9162272264
1072973120
1138211870
1220531994
131216cb7c
1499979ba
1566169ea
hex4597b40

72973120 has 56 divisors (see below), whose sum is σ = 189573408. Its totient is φ = 26534400.

The previous prime is 72973097. The next prime is 72973151. The reversal of 72973120 is 2137927.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6846 + ... + 13885.

Almost surely, 272973120 is an apocalyptic number.

It is an amenable number.

72973120 is an abundant number, since it is smaller than the sum of its proper divisors (116600288).

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

72973120 is a wasteful number, since it uses less digits than its factorization.

72973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20759 (or 20749 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 72973120 is about 8542.4305674673. The cubic root of 72973120 is about 417.8826162458.

The spelling of 72973120 in words is "seventy-two million, nine hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 20731 41462 82924 103655 165848 207310 228041 331696 414620 456082 663392 829240 912164 1140205 1326784 1658480 1824328 2280410 3316960 3648656 4560820 6633920 7297312 9121640 14594624 18243280 36486560 72973120