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72440992 = 2513174137
BaseRepresentation
bin1000101000101…
…01110010100000
312001022101100201
410110111302200
5122021102432
611104354544
71536511141
oct424256240
9161271321
1072440992
1137988a98
1220315a54
13120148c0
149899ac8
15655dee7
hex4515ca0

72440992 has 24 divisors (see below), whose sum is σ = 153589716. Its totient is φ = 33434112.

The previous prime is 72440933. The next prime is 72441001. The reversal of 72440992 is 29904427.

It can be written as a sum of positive squares in 2 ways, for example, as 67963536 + 4477456 = 8244^2 + 2116^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86653 + ... + 87484.

Almost surely, 272440992 is an apocalyptic number.

It is an amenable number.

72440992 is an abundant number, since it is smaller than the sum of its proper divisors (81148724).

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

72440992 is a wasteful number, since it uses less digits than its factorization.

72440992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174160 (or 174152 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 72440992 is about 8511.2274085469. The cubic root of 72440992 is about 416.8643885774.

The spelling of 72440992 in words is "seventy-two million, four hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 174137 348274 696548 1393096 2263781 2786192 4527562 5572384 9055124 18110248 36220496 72440992