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72313290 = 2335738261
BaseRepresentation
bin1000100111101…
…10100111001010
312001001220012000
410103312213022
5122003011130
611101531430
71535436630
oct423664712
9161056160
1072313290
1137901055
1220273b76
1311c9b73a
149865350
156536260
hex44f69ca

72313290 has 64 divisors (see below), whose sum is σ = 220389120. Its totient is φ = 16528320.

The previous prime is 72313277. The next prime is 72313321. The reversal of 72313290 is 9231327.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17241 + ... + 21020.

It is an arithmetic number, because the mean of its divisors is an integer number (3443580).

Almost surely, 272313290 is an apocalyptic number.

72313290 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72313290 is an abundant number, since it is smaller than the sum of its proper divisors (148075830).

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

72313290 is a wasteful number, since it uses less digits than its factorization.

72313290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38284 (or 38278 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 72313290 is about 8503.7221262221. The cubic root of 72313290 is about 416.6192891909.

The spelling of 72313290 in words is "seventy-two million, three hundred thirteen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 38261 76522 114783 191305 229566 267827 344349 382610 535654 573915 688698 803481 1033047 1147830 1339135 1606962 1721745 2066094 2410443 2678270 3443490 4017405 4820886 5165235 7231329 8034810 10330470 12052215 14462658 24104430 36156645 72313290