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72485472 = 253755057
BaseRepresentation
bin1000101001000…
…00101001100000
312001101122101010
410110200221200
5122024013342
611105340520
71540054623
oct424405140
9161348333
1072485472
1137a09454
1220337740
131202bc17
1498abdba
15656c29c
hex4520a60

72485472 has 24 divisors (see below), whose sum is σ = 190274616. Its totient is φ = 24161792.

The previous prime is 72485461. The next prime is 72485473. The reversal of 72485472 is 27458427.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 72485472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72485473) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 377433 + ... + 377624.

It is an arithmetic number, because the mean of its divisors is an integer number (7928109).

Almost surely, 272485472 is an apocalyptic number.

It is an amenable number.

72485472 is an abundant number, since it is smaller than the sum of its proper divisors (117789144).

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

72485472 is a wasteful number, since it uses less digits than its factorization.

72485472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755070 (or 755062 counting only the distinct ones).

The product of its digits is 125440, while the sum is 39.

The square root of 72485472 is about 8513.8400266860. The cubic root of 72485472 is about 416.9496917266.

It can be divided in two parts, 7248 and 5472, that added together give a triangular number (12720 = T159).

The spelling of 72485472 in words is "seventy-two million, four hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 755057 1510114 2265171 3020228 4530342 6040456 9060684 12080912 18121368 24161824 36242736 72485472