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72406425 = 3527131032
BaseRepresentation
bin1000101000011…
…01010110011001
312001020121221110
410110031112121
5122014001200
611103530533
71536305310
oct424152631
9161217843
1072406425
1137965023
12202b9a49
1312001c50
14988b277
156553b50
hex450d599

72406425 has 72 divisors (see below), whose sum is σ = 148782144. Its totient is φ = 30257280.

The previous prime is 72406403. The next prime is 72406429. The reversal of 72406425 is 52460427.

It is not a de Polignac number, because 72406425 - 29 = 72405913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72406392 and 72406401.

It is not an unprimeable number, because it can be changed into a prime (72406429) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 702924 + ... + 703026.

Almost surely, 272406425 is an apocalyptic number.

72406425 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72406425 is an abundant number, since it is smaller than the sum of its proper divisors (76375719).

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

72406425 is a wasteful number, since it uses less digits than its factorization.

72406425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 72406425 is about 8509.1964955570. The cubic root of 72406425 is about 416.7980723315.

The spelling of 72406425 in words is "seventy-two million, four hundred six thousand, four hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 103 105 175 195 273 309 325 455 515 525 721 975 1339 1365 1545 2163 2275 2575 3605 4017 6695 6825 7725 9373 10609 10815 18025 20085 28119 31827 33475 46865 53045 54075 74263 100425 137917 140595 159135 222789 234325 265225 371315 413751 689585 702975 795675 965419 1113945 1856575 2068755 2896257 3447925 4827095 5569725 10343775 14481285 24135475 72406425