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72435348 = 22322012093
BaseRepresentation
bin1000101000101…
…00011010010100
312001022002121200
410110110122110
5122020412343
611104312500
71536455526
oct424243224
9161262550
1072435348
1137984827
1220312730
131201216b
149897a16
15655c4d3
hex4514694

72435348 has 18 divisors (see below), whose sum is σ = 183100554. Its totient is φ = 24145104.

The previous prime is 72435343. The next prime is 72435367. The reversal of 72435348 is 84353427.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 72386064 + 49284 = 8508^2 + 222^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×724353482 = 10493759279762208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2012093 = 72435348 / (7 + 2 + 4 + 3 + 5 + 3 + 4 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72435343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1006011 + ... + 1006082.

It is an arithmetic number, because the mean of its divisors is an integer number (10172253).

Almost surely, 272435348 is an apocalyptic number.

It is an amenable number.

72435348 is an abundant number, since it is smaller than the sum of its proper divisors (110665206).

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

72435348 is a wasteful number, since it uses less digits than its factorization.

72435348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012103 (or 2012098 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 72435348 is about 8510.8958400394. The cubic root of 72435348 is about 416.8535620935.

The spelling of 72435348 in words is "seventy-two million, four hundred thirty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2012093 4024186 6036279 8048372 12072558 18108837 24145116 36217674 72435348