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72524484 = 2234223841
BaseRepresentation
bin1000101001010…
…10001011000100
312001110121220000
410110222023010
5122031240414
611110241300
71540306434
oct424521304
9161417800
1072524484
1137a3579a
1220356230
13120438c6
1498bc2c4
156578b09
hex452a2c4

72524484 has 30 divisors (see below), whose sum is σ = 189594174. Its totient is φ = 24174720.

The previous prime is 72524483. The next prime is 72524489. The reversal of 72524484 is 48442527.

It can be written as a sum of positive squares in only one way, i.e., 37454400 + 35070084 = 6120^2 + 5922^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72524483) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 111597 + ... + 112244.

Almost surely, 272524484 is an apocalyptic number.

It is an amenable number.

72524484 is an abundant number, since it is smaller than the sum of its proper divisors (117069690).

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

72524484 is a wasteful number, since it uses less digits than its factorization.

72524484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223857 (or 223846 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 72524484 is about 8516.1308115834. The cubic root of 72524484 is about 417.0244796974.

The spelling of 72524484 in words is "seventy-two million, five hundred twenty-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 223841 447682 671523 895364 1343046 2014569 2686092 4029138 6043707 8058276 12087414 18131121 24174828 36262242 72524484