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72345450 = 2352716793
BaseRepresentation
bin1000100111111…
…10011101101010
312001010112022010
410103332131222
5122010023300
611102340350
71535632452
oct423763552
9161115263
1072345450
1137923231
122028a6b6
1311cb0278
149872d62
156540a50
hex44fe76a

72345450 has 48 divisors (see below), whose sum is σ = 181970496. Its totient is φ = 19017600.

The previous prime is 72345439. The next prime is 72345457. The reversal of 72345450 is 5454327.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72345457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7254 + ... + 14046.

It is an arithmetic number, because the mean of its divisors is an integer number (3791052).

Almost surely, 272345450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72345450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90985248).

72345450 is an abundant number, since it is smaller than the sum of its proper divisors (109625046).

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

72345450 is a wasteful number, since it uses less digits than its factorization.

72345450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6879 (or 6874 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 72345450 is about 8505.6128526991. The cubic root of 72345450 is about 416.6810412819.

Adding to 72345450 its reverse (5454327), we get a palindrome (77799777).

The spelling of 72345450 in words is "seventy-two million, three hundred forty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 71 75 142 150 213 355 426 710 1065 1775 2130 3550 5325 6793 10650 13586 20379 33965 40758 67930 101895 169825 203790 339650 482303 509475 964606 1018950 1446909 2411515 2893818 4823030 7234545 12057575 14469090 24115150 36172725 72345450